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Finding the Fourth Proportional to 24,810.31, 37,193.59 and 9,217

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Solution

The fourth proportional to 24,810.31, 37,193.59 and 9,217 is: 13,817.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,810.31 : 37,193.59 = 9,217 : x
  2. Step 2: Convert to fraction form
    24,810.31/37,193.59 = 9,217/x
  3. Step 3: Cross multiply
    24,810.31x = 37,193.59 × 9,217
  4. Step 4: Simplify right side
    24,810.31x = 342,813,319.03
  5. Step 5: Solve for x
    x = 342,813,319.03/24,810.31
  6. Step 6: Final answer
    x = 13,817.37

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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.