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Finding the Fourth Proportional to 22,892.46, 34,310.96 and 9,717.18

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Solution

The fourth proportional to 22,892.46, 34,310.96 and 9,717.18 is: 14,564.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,892.46 : 34,310.96 = 9,717.18 : x
  2. Step 2: Convert to fraction form
    22,892.46/34,310.96 = 9,717.18/x
  3. Step 3: Cross multiply
    22,892.46x = 34,310.96 × 9,717.18
  4. Step 4: Simplify right side
    22,892.46x = 333,405,774.29
  5. Step 5: Solve for x
    x = 333,405,774.29/22,892.46
  6. Step 6: Final answer
    x = 14,564.00

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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.