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Finding the Fourth Proportional to 14,706.50, 20,294.98 and 8,082.50

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Solution

The fourth proportional to 14,706.50, 20,294.98 and 8,082.50 is: 11,153.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,706.50 : 20,294.98 = 8,082.50 : x
  2. Step 2: Convert to fraction form
    14,706.50/20,294.98 = 8,082.50/x
  3. Step 3: Cross multiply
    14,706.50x = 20,294.98 × 8,082.50
  4. Step 4: Simplify right side
    14,706.50x = 164,034,175.85
  5. Step 5: Solve for x
    x = 164,034,175.85/14,706.50
  6. Step 6: Final answer
    x = 11,153.86

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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.