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Finding the Fourth Proportional to 10,082.80, 15,113.88 and 9,829.84

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Solution

The fourth proportional to 10,082.80, 15,113.88 and 9,829.84 is: 14,734.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082.80 : 15,113.88 = 9,829.84 : x
  2. Step 2: Convert to fraction form
    10,082.80/15,113.88 = 9,829.84/x
  3. Step 3: Cross multiply
    10,082.80x = 15,113.88 × 9,829.84
  4. Step 4: Simplify right side
    10,082.80x = 148,567,022.18
  5. Step 5: Solve for x
    x = 148,567,022.18/10,082.80
  6. Step 6: Final answer
    x = 14,734.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.