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Finding the Fourth Proportional to 15,728.90, 23,593.36 and 5,340.74

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Solution

The fourth proportional to 15,728.90, 23,593.36 and 5,340.74 is: 8,011.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,728.90 : 23,593.36 = 5,340.74 : x
  2. Step 2: Convert to fraction form
    15,728.90/23,593.36 = 5,340.74/x
  3. Step 3: Cross multiply
    15,728.90x = 23,593.36 × 5,340.74
  4. Step 4: Simplify right side
    15,728.90x = 126,006,001.49
  5. Step 5: Solve for x
    x = 126,006,001.49/15,728.90
  6. Step 6: Final answer
    x = 8,011.11

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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.