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Finding the Fourth Proportional to 12,446.96, 17,176.52 and 6,781.64

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Solution

The fourth proportional to 12,446.96, 17,176.52 and 6,781.64 is: 9,358.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,446.96 : 17,176.52 = 6,781.64 : x
  2. Step 2: Convert to fraction form
    12,446.96/17,176.52 = 6,781.64/x
  3. Step 3: Cross multiply
    12,446.96x = 17,176.52 × 6,781.64
  4. Step 4: Simplify right side
    12,446.96x = 116,484,855.30
  5. Step 5: Solve for x
    x = 116,484,855.30/12,446.96
  6. Step 6: Final answer
    x = 9,358.50

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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.