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Finding the Fourth Proportional to 14,768.68, 22,149.24 and 4,378

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Solution

The fourth proportional to 14,768.68, 22,149.24 and 4,378 is: 6,565.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,768.68 : 22,149.24 = 4,378 : x
  2. Step 2: Convert to fraction form
    14,768.68/22,149.24 = 4,378/x
  3. Step 3: Cross multiply
    14,768.68x = 22,149.24 × 4,378
  4. Step 4: Simplify right side
    14,768.68x = 96,969,372.72
  5. Step 5: Solve for x
    x = 96,969,372.72/14,768.68
  6. Step 6: Final answer
    x = 6,565.88

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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.