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Finding the Fourth Proportional to 15,707.49, 23,561.24 and 5,849.25

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Solution

The fourth proportional to 15,707.49, 23,561.24 and 5,849.25 is: 8,773.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,707.49 : 23,561.24 = 5,849.25 : x
  2. Step 2: Convert to fraction form
    15,707.49/23,561.24 = 5,849.25/x
  3. Step 3: Cross multiply
    15,707.49x = 23,561.24 × 5,849.25
  4. Step 4: Simplify right side
    15,707.49x = 137,815,553.82
  5. Step 5: Solve for x
    x = 137,815,553.82/15,707.49
  6. Step 6: Final answer
    x = 8,773.88

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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.