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Finding the Fourth Proportional to 21,580.70, 29,781.88 and 12,150.14

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Solution

The fourth proportional to 21,580.70, 29,781.88 and 12,150.14 is: 16,767.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,580.70 : 29,781.88 = 12,150.14 : x
  2. Step 2: Convert to fraction form
    21,580.70/29,781.88 = 12,150.14/x
  3. Step 3: Cross multiply
    21,580.70x = 29,781.88 × 12,150.14
  4. Step 4: Simplify right side
    21,580.70x = 361,853,832.18
  5. Step 5: Solve for x
    x = 361,853,832.18/21,580.70
  6. Step 6: Final answer
    x = 16,767.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.