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Finding the Fourth Proportional to 28,082.50, 38,758.17 and 16,910.98

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Solution

The fourth proportional to 28,082.50, 38,758.17 and 16,910.98 is: 23,339.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,082.50 : 38,758.17 = 16,910.98 : x
  2. Step 2: Convert to fraction form
    28,082.50/38,758.17 = 16,910.98/x
  3. Step 3: Cross multiply
    28,082.50x = 38,758.17 × 16,910.98
  4. Step 4: Simplify right side
    28,082.50x = 655,438,637.71
  5. Step 5: Solve for x
    x = 655,438,637.71/28,082.50
  6. Step 6: Final answer
    x = 23,339.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.