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Finding the Fourth Proportional to 21,714.57, 29,966.10 and 11,778.57

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Solution

The fourth proportional to 21,714.57, 29,966.10 and 11,778.57 is: 16,254.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,714.57 : 29,966.10 = 11,778.57 : x
  2. Step 2: Convert to fraction form
    21,714.57/29,966.10 = 11,778.57/x
  3. Step 3: Cross multiply
    21,714.57x = 29,966.10 × 11,778.57
  4. Step 4: Simplify right side
    21,714.57x = 352,957,806.48
  5. Step 5: Solve for x
    x = 352,957,806.48/21,714.57
  6. Step 6: Final answer
    x = 16,254.42

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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.