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Finding the Fourth Proportional to 15,364.43, 23,053.82 and 7,964.85

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Solution

The fourth proportional to 15,364.43, 23,053.82 and 7,964.85 is: 11,950.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,364.43 : 23,053.82 = 7,964.85 : x
  2. Step 2: Convert to fraction form
    15,364.43/23,053.82 = 7,964.85/x
  3. Step 3: Cross multiply
    15,364.43x = 23,053.82 × 7,964.85
  4. Step 4: Simplify right side
    15,364.43x = 183,620,218.23
  5. Step 5: Solve for x
    x = 183,620,218.23/15,364.43
  6. Step 6: Final answer
    x = 11,950.99

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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.