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Finding the Fourth Proportional to 25,013.31, 37,524.98 and 9,218.42

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Solution

The fourth proportional to 25,013.31, 37,524.98 and 9,218.42 is: 13,829.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,013.31 : 37,524.98 = 9,218.42 : x
  2. Step 2: Convert to fraction form
    25,013.31/37,524.98 = 9,218.42/x
  3. Step 3: Cross multiply
    25,013.31x = 37,524.98 × 9,218.42
  4. Step 4: Simplify right side
    25,013.31x = 345,920,792.41
  5. Step 5: Solve for x
    x = 345,920,792.41/25,013.31
  6. Step 6: Final answer
    x = 13,829.47

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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.