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Finding the Fourth Proportional to 16,275.42, 24,395.22 and 10,650.78

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Solution

The fourth proportional to 16,275.42, 24,395.22 and 10,650.78 is: 15,964.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,275.42 : 24,395.22 = 10,650.78 : x
  2. Step 2: Convert to fraction form
    16,275.42/24,395.22 = 10,650.78/x
  3. Step 3: Cross multiply
    16,275.42x = 24,395.22 × 10,650.78
  4. Step 4: Simplify right side
    16,275.42x = 259,828,121.27
  5. Step 5: Solve for x
    x = 259,828,121.27/16,275.42
  6. Step 6: Final answer
    x = 15,964.45

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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.