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Finding the Fourth Proportional to 21,142.70, 31,691.16 and 13,752.44

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Solution

The fourth proportional to 21,142.70, 31,691.16 and 13,752.44 is: 20,613.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,142.70 : 31,691.16 = 13,752.44 : x
  2. Step 2: Convert to fraction form
    21,142.70/31,691.16 = 13,752.44/x
  3. Step 3: Cross multiply
    21,142.70x = 31,691.16 × 13,752.44
  4. Step 4: Simplify right side
    21,142.70x = 435,830,776.43
  5. Step 5: Solve for x
    x = 435,830,776.43/21,142.70
  6. Step 6: Final answer
    x = 20,613.77

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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.