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Finding the Fourth Proportional to 14,673.78, 20,249.46 and 8,385.75

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Solution

The fourth proportional to 14,673.78, 20,249.46 and 8,385.75 is: 11,572.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,673.78 : 20,249.46 = 8,385.75 : x
  2. Step 2: Convert to fraction form
    14,673.78/20,249.46 = 8,385.75/x
  3. Step 3: Cross multiply
    14,673.78x = 20,249.46 × 8,385.75
  4. Step 4: Simplify right side
    14,673.78x = 169,806,909.20
  5. Step 5: Solve for x
    x = 169,806,909.20/14,673.78
  6. Step 6: Final answer
    x = 11,572.13

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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.