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Finding the Fourth Proportional to 16,209.88, 24,314.81 and 5,265.88

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Solution

The fourth proportional to 16,209.88, 24,314.81 and 5,265.88 is: 7,898.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,209.88 : 24,314.81 = 5,265.88 : x
  2. Step 2: Convert to fraction form
    16,209.88/24,314.81 = 5,265.88/x
  3. Step 3: Cross multiply
    16,209.88x = 24,314.81 × 5,265.88
  4. Step 4: Simplify right side
    16,209.88x = 128,038,871.68
  5. Step 5: Solve for x
    x = 128,038,871.68/16,209.88
  6. Step 6: Final answer
    x = 7,898.82

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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.