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Finding the Fourth Proportional to 16,207.88, 24,311.81 and 5,263.88

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Solution

The fourth proportional to 16,207.88, 24,311.81 and 5,263.88 is: 7,895.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,207.88 : 24,311.81 = 5,263.88 : x
  2. Step 2: Convert to fraction form
    16,207.88/24,311.81 = 5,263.88/x
  3. Step 3: Cross multiply
    16,207.88x = 24,311.81 × 5,263.88
  4. Step 4: Simplify right side
    16,207.88x = 127,974,342.02
  5. Step 5: Solve for x
    x = 127,974,342.02/16,207.88
  6. Step 6: Final answer
    x = 7,895.81

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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.