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Finding the Fourth Proportional to 12,654.72, 17,460.10 and 8,176.86

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Solution

The fourth proportional to 12,654.72, 17,460.10 and 8,176.86 is: 11,281.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,654.72 : 17,460.10 = 8,176.86 : x
  2. Step 2: Convert to fraction form
    12,654.72/17,460.10 = 8,176.86/x
  3. Step 3: Cross multiply
    12,654.72x = 17,460.10 × 8,176.86
  4. Step 4: Simplify right side
    12,654.72x = 142,768,793.29
  5. Step 5: Solve for x
    x = 142,768,793.29/12,654.72
  6. Step 6: Final answer
    x = 11,281.86

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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.