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Finding the Fourth Proportional to 15,107.30, 22,657.53 and 5,743.99

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Solution

The fourth proportional to 15,107.30, 22,657.53 and 5,743.99 is: 8,614.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,107.30 : 22,657.53 = 5,743.99 : x
  2. Step 2: Convert to fraction form
    15,107.30/22,657.53 = 5,743.99/x
  3. Step 3: Cross multiply
    15,107.30x = 22,657.53 × 5,743.99
  4. Step 4: Simplify right side
    15,107.30x = 130,144,632.53
  5. Step 5: Solve for x
    x = 130,144,632.53/15,107.30
  6. Step 6: Final answer
    x = 8,614.68

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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.