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Finding the Fourth Proportional to 21,434.68, 32,148.37 and 8,287.17

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Solution

The fourth proportional to 21,434.68, 32,148.37 and 8,287.17 is: 12,429.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,434.68 : 32,148.37 = 8,287.17 : x
  2. Step 2: Convert to fraction form
    21,434.68/32,148.37 = 8,287.17/x
  3. Step 3: Cross multiply
    21,434.68x = 32,148.37 × 8,287.17
  4. Step 4: Simplify right side
    21,434.68x = 266,419,007.41
  5. Step 5: Solve for x
    x = 266,419,007.41/21,434.68
  6. Step 6: Final answer
    x = 12,429.34

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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.