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Finding the Fourth Proportional to 16,081.32, 24,121.74 and 9,141

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Solution

The fourth proportional to 16,081.32, 24,121.74 and 9,141 is: 13,711.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,081.32 : 24,121.74 = 9,141 : x
  2. Step 2: Convert to fraction form
    16,081.32/24,121.74 = 9,141/x
  3. Step 3: Cross multiply
    16,081.32x = 24,121.74 × 9,141
  4. Step 4: Simplify right side
    16,081.32x = 220,496,825.34
  5. Step 5: Solve for x
    x = 220,496,825.34/16,081.32
  6. Step 6: Final answer
    x = 13,711.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.