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Finding the Fourth Proportional to 16,063.20, 24,111.12 and 11,689.20

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Solution

The fourth proportional to 16,063.20, 24,111.12 and 11,689.20 is: 17,545.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,063.20 : 24,111.12 = 11,689.20 : x
  2. Step 2: Convert to fraction form
    16,063.20/24,111.12 = 11,689.20/x
  3. Step 3: Cross multiply
    16,063.20x = 24,111.12 × 11,689.20
  4. Step 4: Simplify right side
    16,063.20x = 281,839,703.90
  5. Step 5: Solve for x
    x = 281,839,703.90/16,063.20
  6. Step 6: Final answer
    x = 17,545.68

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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.