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Finding the Fourth Proportional to 16,242.87, 24,367.75 and 5,148.10

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Solution

The fourth proportional to 16,242.87, 24,367.75 and 5,148.10 is: 7,723.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,242.87 : 24,367.75 = 5,148.10 : x
  2. Step 2: Convert to fraction form
    16,242.87/24,367.75 = 5,148.10/x
  3. Step 3: Cross multiply
    16,242.87x = 24,367.75 × 5,148.10
  4. Step 4: Simplify right side
    16,242.87x = 125,447,660.32
  5. Step 5: Solve for x
    x = 125,447,660.32/16,242.87
  6. Step 6: Final answer
    x = 7,723.24

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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.