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Finding the Fourth Proportional to 12,486.60, 17,234.82 and 7,182.04

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Solution

The fourth proportional to 12,486.60, 17,234.82 and 7,182.04 is: 9,913.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,486.60 : 17,234.82 = 7,182.04 : x
  2. Step 2: Convert to fraction form
    12,486.60/17,234.82 = 7,182.04/x
  3. Step 3: Cross multiply
    12,486.60x = 17,234.82 × 7,182.04
  4. Step 4: Simplify right side
    12,486.60x = 123,781,166.63
  5. Step 5: Solve for x
    x = 123,781,166.63/12,486.60
  6. Step 6: Final answer
    x = 9,913.12

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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.