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Finding the Fourth Proportional to 12,159.96, 16,781.21 and 6,854.66

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Solution

The fourth proportional to 12,159.96, 16,781.21 and 6,854.66 is: 9,459.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,159.96 : 16,781.21 = 6,854.66 : x
  2. Step 2: Convert to fraction form
    12,159.96/16,781.21 = 6,854.66/x
  3. Step 3: Cross multiply
    12,159.96x = 16,781.21 × 6,854.66
  4. Step 4: Simplify right side
    12,159.96x = 115,029,370.76
  5. Step 5: Solve for x
    x = 115,029,370.76/12,159.96
  6. Step 6: Final answer
    x = 9,459.68

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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.