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Finding the Fourth Proportional to 21,489.68, 32,223.04 and 7,446.10

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Solution

The fourth proportional to 21,489.68, 32,223.04 and 7,446.10 is: 11,165.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,489.68 : 32,223.04 = 7,446.10 : x
  2. Step 2: Convert to fraction form
    21,489.68/32,223.04 = 7,446.10/x
  3. Step 3: Cross multiply
    21,489.68x = 32,223.04 × 7,446.10
  4. Step 4: Simplify right side
    21,489.68x = 239,935,878.97
  5. Step 5: Solve for x
    x = 239,935,878.97/21,489.68
  6. Step 6: Final answer
    x = 11,165.17

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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.