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Finding the Fourth Proportional to 16,191.29, 24,280.56 and 7,868.85

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Solution

The fourth proportional to 16,191.29, 24,280.56 and 7,868.85 is: 11,800.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,191.29 : 24,280.56 = 7,868.85 : x
  2. Step 2: Convert to fraction form
    16,191.29/24,280.56 = 7,868.85/x
  3. Step 3: Cross multiply
    16,191.29x = 24,280.56 × 7,868.85
  4. Step 4: Simplify right side
    16,191.29x = 191,059,993.50
  5. Step 5: Solve for x
    x = 191,059,993.50/16,191.29
  6. Step 6: Final answer
    x = 11,800.17

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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.