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Finding the Fourth Proportional to 14,770.34, 20,377.96 and 9,468.08

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Solution

The fourth proportional to 14,770.34, 20,377.96 and 9,468.08 is: 13,062.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,770.34 : 20,377.96 = 9,468.08 : x
  2. Step 2: Convert to fraction form
    14,770.34/20,377.96 = 9,468.08/x
  3. Step 3: Cross multiply
    14,770.34x = 20,377.96 × 9,468.08
  4. Step 4: Simplify right side
    14,770.34x = 192,940,155.52
  5. Step 5: Solve for x
    x = 192,940,155.52/14,770.34
  6. Step 6: Final answer
    x = 13,062.68

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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.