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Finding the Fourth Proportional to 16,304.32, 24,471.87 and 10,464.22

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Solution

The fourth proportional to 16,304.32, 24,471.87 and 10,464.22 is: 15,706.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,304.32 : 24,471.87 = 10,464.22 : x
  2. Step 2: Convert to fraction form
    16,304.32/24,471.87 = 10,464.22/x
  3. Step 3: Cross multiply
    16,304.32x = 24,471.87 × 10,464.22
  4. Step 4: Simplify right side
    16,304.32x = 256,079,031.49
  5. Step 5: Solve for x
    x = 256,079,031.49/16,304.32
  6. Step 6: Final answer
    x = 15,706.21

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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.