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Finding the Fourth Proportional to 16,714.61, 23,066.34 and 9,160.78

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Solution

The fourth proportional to 16,714.61, 23,066.34 and 9,160.78 is: 12,641.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,714.61 : 23,066.34 = 9,160.78 : x
  2. Step 2: Convert to fraction form
    16,714.61/23,066.34 = 9,160.78/x
  3. Step 3: Cross multiply
    16,714.61x = 23,066.34 × 9,160.78
  4. Step 4: Simplify right side
    16,714.61x = 211,305,617.03
  5. Step 5: Solve for x
    x = 211,305,617.03/16,714.61
  6. Step 6: Final answer
    x = 12,641.97

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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.