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Finding the Fourth Proportional to 15,291.57, 22,943.13 and 10,407.27

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Solution

The fourth proportional to 15,291.57, 22,943.13 and 10,407.27 is: 15,614.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,291.57 : 22,943.13 = 10,407.27 : x
  2. Step 2: Convert to fraction form
    15,291.57/22,943.13 = 10,407.27/x
  3. Step 3: Cross multiply
    15,291.57x = 22,943.13 × 10,407.27
  4. Step 4: Simplify right side
    15,291.57x = 238,775,348.56
  5. Step 5: Solve for x
    x = 238,775,348.56/15,291.57
  6. Step 6: Final answer
    x = 15,614.84

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