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Finding the Fourth Proportional to 25,292.24, 37,943.24 and 9,708.65

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Solution

The fourth proportional to 25,292.24, 37,943.24 and 9,708.65 is: 14,564.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,292.24 : 37,943.24 = 9,708.65 : x
  2. Step 2: Convert to fraction form
    25,292.24/37,943.24 = 9,708.65/x
  3. Step 3: Cross multiply
    25,292.24x = 37,943.24 × 9,708.65
  4. Step 4: Simplify right side
    25,292.24x = 368,377,637.03
  5. Step 5: Solve for x
    x = 368,377,637.03/25,292.24
  6. Step 6: Final answer
    x = 14,564.85

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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.