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Finding the Fourth Proportional to 16,123.80, 24,171.12 and 5,733.12

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Solution

The fourth proportional to 16,123.80, 24,171.12 and 5,733.12 is: 8,594.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,123.80 : 24,171.12 = 5,733.12 : x
  2. Step 2: Convert to fraction form
    16,123.80/24,171.12 = 5,733.12/x
  3. Step 3: Cross multiply
    16,123.80x = 24,171.12 × 5,733.12
  4. Step 4: Simplify right side
    16,123.80x = 138,575,931.49
  5. Step 5: Solve for x
    x = 138,575,931.49/16,123.80
  6. Step 6: Final answer
    x = 8,594.50

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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.