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Finding the Fourth Proportional to 14,767.14, 22,165.28 and 6,452.89

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Solution

The fourth proportional to 14,767.14, 22,165.28 and 6,452.89 is: 9,685.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,767.14 : 22,165.28 = 6,452.89 : x
  2. Step 2: Convert to fraction form
    14,767.14/22,165.28 = 6,452.89/x
  3. Step 3: Cross multiply
    14,767.14x = 22,165.28 × 6,452.89
  4. Step 4: Simplify right side
    14,767.14x = 143,030,129.79
  5. Step 5: Solve for x
    x = 143,030,129.79/14,767.14
  6. Step 6: Final answer
    x = 9,685.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.