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Finding the Fourth Proportional to 16,038.54, 22,132.71 and 8,868.96

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Solution

The fourth proportional to 16,038.54, 22,132.71 and 8,868.96 is: 12,238.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,038.54 : 22,132.71 = 8,868.96 : x
  2. Step 2: Convert to fraction form
    16,038.54/22,132.71 = 8,868.96/x
  3. Step 3: Cross multiply
    16,038.54x = 22,132.71 × 8,868.96
  4. Step 4: Simplify right side
    16,038.54x = 196,294,119.68
  5. Step 5: Solve for x
    x = 196,294,119.68/16,038.54
  6. Step 6: Final answer
    x = 12,238.90

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Why These Related Problems?

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