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Finding the Fourth Proportional to 15,796,223.69, 23,703,078.74 and 7,709,266.31

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Solution

The fourth proportional to 15,796,223.69, 23,703,078.74 and 7,709,266.31 is: 11,568,166.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,796,223.69 : 23,703,078.74 = 7,709,266.31 : x
  2. Step 2: Convert to fraction form
    15,796,223.69/23,703,078.74 = 7,709,266.31/x
  3. Step 3: Cross multiply
    15,796,223.69x = 23,703,078.74 × 7,709,266.31
  4. Step 4: Simplify right side
    15,796,223.69x = 182,733,346,216,497.50
  5. Step 5: Solve for x
    x = 182,733,346,216,497.50/15,796,223.69
  6. Step 6: Final answer
    x = 11,568,166.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.