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Finding the Fourth Proportional to 10,082.88, 15,048.24 and 9,820.80

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Solution

The fourth proportional to 10,082.88, 15,048.24 and 9,820.80 is: 14,657.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082.88 : 15,048.24 = 9,820.80 : x
  2. Step 2: Convert to fraction form
    10,082.88/15,048.24 = 9,820.80/x
  3. Step 3: Cross multiply
    10,082.88x = 15,048.24 × 9,820.80
  4. Step 4: Simplify right side
    10,082.88x = 147,785,755.39
  5. Step 5: Solve for x
    x = 147,785,755.39/10,082.88
  6. Step 6: Final answer
    x = 14,657.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.