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Finding the Fourth Proportional to 16,238.64, 24,358.90 and 4,552.78

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Solution

The fourth proportional to 16,238.64, 24,358.90 and 4,552.78 is: 6,829.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,238.64 : 24,358.90 = 4,552.78 : x
  2. Step 2: Convert to fraction form
    16,238.64/24,358.90 = 4,552.78/x
  3. Step 3: Cross multiply
    16,238.64x = 24,358.90 × 4,552.78
  4. Step 4: Simplify right side
    16,238.64x = 110,900,712.74
  5. Step 5: Solve for x
    x = 110,900,712.74/16,238.64
  6. Step 6: Final answer
    x = 6,829.43

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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.