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Finding the Fourth Proportional to 16,042, 22,137.57 and 8,871.72

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Solution

The fourth proportional to 16,042, 22,137.57 and 8,871.72 is: 12,242.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,042 : 22,137.57 = 8,871.72 : x
  2. Step 2: Convert to fraction form
    16,042/22,137.57 = 8,871.72/x
  3. Step 3: Cross multiply
    16,042x = 22,137.57 × 8,871.72
  4. Step 4: Simplify right side
    16,042x = 196,398,322.52
  5. Step 5: Solve for x
    x = 196,398,322.52/16,042
  6. Step 6: Final answer
    x = 12,242.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.