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Finding the Fourth Proportional to 12,654.30, 17,478.38 and 8,688.54

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Solution

The fourth proportional to 12,654.30, 17,478.38 and 8,688.54 is: 12,000.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,654.30 : 17,478.38 = 8,688.54 : x
  2. Step 2: Convert to fraction form
    12,654.30/17,478.38 = 8,688.54/x
  3. Step 3: Cross multiply
    12,654.30x = 17,478.38 × 8,688.54
  4. Step 4: Simplify right side
    12,654.30x = 151,861,603.77
  5. Step 5: Solve for x
    x = 151,861,603.77/12,654.30
  6. Step 6: Final answer
    x = 12,000.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.