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Finding the Fourth Proportional to 15,640.80, 23,463.24 and 5,107.14

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Solution

The fourth proportional to 15,640.80, 23,463.24 and 5,107.14 is: 7,661.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,640.80 : 23,463.24 = 5,107.14 : x
  2. Step 2: Convert to fraction form
    15,640.80/23,463.24 = 5,107.14/x
  3. Step 3: Cross multiply
    15,640.80x = 23,463.24 × 5,107.14
  4. Step 4: Simplify right side
    15,640.80x = 119,830,051.53
  5. Step 5: Solve for x
    x = 119,830,051.53/15,640.80
  6. Step 6: Final answer
    x = 7,661.38

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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.