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Finding the Fourth Proportional to 21,714.96, 29,966.31 and 12,155.10

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Solution

The fourth proportional to 21,714.96, 29,966.31 and 12,155.10 is: 16,773.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,714.96 : 29,966.31 = 12,155.10 : x
  2. Step 2: Convert to fraction form
    21,714.96/29,966.31 = 12,155.10/x
  3. Step 3: Cross multiply
    21,714.96x = 29,966.31 × 12,155.10
  4. Step 4: Simplify right side
    21,714.96x = 364,243,494.68
  5. Step 5: Solve for x
    x = 364,243,494.68/21,714.96
  6. Step 6: Final answer
    x = 16,773.85

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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.