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Finding the Fourth Proportional to 21,142.84, 31,691.34 and 13,752.58

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Solution

The fourth proportional to 21,142.84, 31,691.34 and 13,752.58 is: 20,613.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,142.84 : 31,691.34 = 13,752.58 : x
  2. Step 2: Convert to fraction form
    21,142.84/31,691.34 = 13,752.58/x
  3. Step 3: Cross multiply
    21,142.84x = 31,691.34 × 13,752.58
  4. Step 4: Simplify right side
    21,142.84x = 435,837,688.66
  5. Step 5: Solve for x
    x = 435,837,688.66/21,142.84
  6. Step 6: Final answer
    x = 20,613.96

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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.