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Finding the Fourth Proportional to 16,104.18, 24,158.70 and 5,713.50

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Solution

The fourth proportional to 16,104.18, 24,158.70 and 5,713.50 is: 8,571.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,104.18 : 24,158.70 = 5,713.50 : x
  2. Step 2: Convert to fraction form
    16,104.18/24,158.70 = 5,713.50/x
  3. Step 3: Cross multiply
    16,104.18x = 24,158.70 × 5,713.50
  4. Step 4: Simplify right side
    16,104.18x = 138,030,732.45
  5. Step 5: Solve for x
    x = 138,030,732.45/16,104.18
  6. Step 6: Final answer
    x = 8,571.11

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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.