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Finding the Fourth Proportional to 12,167.47, 16,781.34 and 8,389.76

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Solution

The fourth proportional to 12,167.47, 16,781.34 and 8,389.76 is: 11,571.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,167.47 : 16,781.34 = 8,389.76 : x
  2. Step 2: Convert to fraction form
    12,167.47/16,781.34 = 8,389.76/x
  3. Step 3: Cross multiply
    12,167.47x = 16,781.34 × 8,389.76
  4. Step 4: Simplify right side
    12,167.47x = 140,791,415.08
  5. Step 5: Solve for x
    x = 140,791,415.08/12,167.47
  6. Step 6: Final answer
    x = 11,571.14

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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.