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Finding the Fourth Proportional to 15,465.93, 23,198.82 and 5,077.68

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Solution

The fourth proportional to 15,465.93, 23,198.82 and 5,077.68 is: 7,616.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,465.93 : 23,198.82 = 5,077.68 : x
  2. Step 2: Convert to fraction form
    15,465.93/23,198.82 = 5,077.68/x
  3. Step 3: Cross multiply
    15,465.93x = 23,198.82 × 5,077.68
  4. Step 4: Simplify right side
    15,465.93x = 117,796,184.34
  5. Step 5: Solve for x
    x = 117,796,184.34/15,465.93
  6. Step 6: Final answer
    x = 7,616.50

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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.