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Finding the Fourth Proportional to 15,349.64, 22,972.62 and 9,511.16

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Solution

The fourth proportional to 15,349.64, 22,972.62 and 9,511.16 is: 14,234.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,349.64 : 22,972.62 = 9,511.16 : x
  2. Step 2: Convert to fraction form
    15,349.64/22,972.62 = 9,511.16/x
  3. Step 3: Cross multiply
    15,349.64x = 22,972.62 × 9,511.16
  4. Step 4: Simplify right side
    15,349.64x = 218,496,264.44
  5. Step 5: Solve for x
    x = 218,496,264.44/15,349.64
  6. Step 6: Final answer
    x = 14,234.62

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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.