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Finding the Fourth Proportional to 15,497.74, 23,252.82 and 5,637.70

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Solution

The fourth proportional to 15,497.74, 23,252.82 and 5,637.70 is: 8,458.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,497.74 : 23,252.82 = 5,637.70 : x
  2. Step 2: Convert to fraction form
    15,497.74/23,252.82 = 5,637.70/x
  3. Step 3: Cross multiply
    15,497.74x = 23,252.82 × 5,637.70
  4. Step 4: Simplify right side
    15,497.74x = 131,092,423.31
  5. Step 5: Solve for x
    x = 131,092,423.31/15,497.74
  6. Step 6: Final answer
    x = 8,458.81

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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.