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Finding the Fourth Proportional to 12,214.52, 16,854.90 and 6,909.80

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Solution

The fourth proportional to 12,214.52, 16,854.90 and 6,909.80 is: 9,534.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,214.52 : 16,854.90 = 6,909.80 : x
  2. Step 2: Convert to fraction form
    12,214.52/16,854.90 = 6,909.80/x
  3. Step 3: Cross multiply
    12,214.52x = 16,854.90 × 6,909.80
  4. Step 4: Simplify right side
    12,214.52x = 116,463,988.02
  5. Step 5: Solve for x
    x = 116,463,988.02/12,214.52
  6. Step 6: Final answer
    x = 9,534.88

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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.