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Finding the Fourth Proportional to 12,446.96, 17,176.30 and 6,781.61

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Solution

The fourth proportional to 12,446.96, 17,176.30 and 6,781.61 is: 9,358.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,446.96 : 17,176.30 = 6,781.61 : x
  2. Step 2: Convert to fraction form
    12,446.96/17,176.30 = 6,781.61/x
  3. Step 3: Cross multiply
    12,446.96x = 17,176.30 × 6,781.61
  4. Step 4: Simplify right side
    12,446.96x = 116,482,967.84
  5. Step 5: Solve for x
    x = 116,482,967.84/12,446.96
  6. Step 6: Final answer
    x = 9,358.35

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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.