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Finding the Fourth Proportional to 22,802.68, 34,207.67 and 9,655.17

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Solution

The fourth proportional to 22,802.68, 34,207.67 and 9,655.17 is: 14,484.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,802.68 : 34,207.67 = 9,655.17 : x
  2. Step 2: Convert to fraction form
    22,802.68/34,207.67 = 9,655.17/x
  3. Step 3: Cross multiply
    22,802.68x = 34,207.67 × 9,655.17
  4. Step 4: Simplify right side
    22,802.68x = 330,280,869.15
  5. Step 5: Solve for x
    x = 330,280,869.15/22,802.68
  6. Step 6: Final answer
    x = 14,484.30

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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.