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Finding the Fourth Proportional to 12,446.75, 17,176.72 and 6,781.77

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Solution

The fourth proportional to 12,446.75, 17,176.72 and 6,781.77 is: 9,358.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,446.75 : 17,176.72 = 6,781.77 : x
  2. Step 2: Convert to fraction form
    12,446.75/17,176.72 = 6,781.77/x
  3. Step 3: Cross multiply
    12,446.75x = 17,176.72 × 6,781.77
  4. Step 4: Simplify right side
    12,446.75x = 116,488,547.44
  5. Step 5: Solve for x
    x = 116,488,547.44/12,446.75
  6. Step 6: Final answer
    x = 9,358.95

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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.