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Finding the Fourth Proportional to 21,492.66, 29,657.22 and 12,542.34

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Solution

The fourth proportional to 21,492.66, 29,657.22 and 12,542.34 is: 17,306.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,492.66 : 29,657.22 = 12,542.34 : x
  2. Step 2: Convert to fraction form
    21,492.66/29,657.22 = 12,542.34/x
  3. Step 3: Cross multiply
    21,492.66x = 29,657.22 × 12,542.34
  4. Step 4: Simplify right side
    21,492.66x = 371,970,936.69
  5. Step 5: Solve for x
    x = 371,970,936.69/21,492.66
  6. Step 6: Final answer
    x = 17,306.88

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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.