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Finding the Fourth Proportional to 21,136.34, 31,677.02 and 8,642.08

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Solution

The fourth proportional to 21,136.34, 31,677.02 and 8,642.08 is: 12,951.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,136.34 : 31,677.02 = 8,642.08 : x
  2. Step 2: Convert to fraction form
    21,136.34/31,677.02 = 8,642.08/x
  3. Step 3: Cross multiply
    21,136.34x = 31,677.02 × 8,642.08
  4. Step 4: Simplify right side
    21,136.34x = 273,755,341.00
  5. Step 5: Solve for x
    x = 273,755,341.00/21,136.34
  6. Step 6: Final answer
    x = 12,951.88

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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.