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Finding the Fourth Proportional to 26,053.46, 39,082 and 10,471.10

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Solution

The fourth proportional to 26,053.46, 39,082 and 10,471.10 is: 15,707.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,053.46 : 39,082 = 10,471.10 : x
  2. Step 2: Convert to fraction form
    26,053.46/39,082 = 10,471.10/x
  3. Step 3: Cross multiply
    26,053.46x = 39,082 × 10,471.10
  4. Step 4: Simplify right side
    26,053.46x = 409,231,530.20
  5. Step 5: Solve for x
    x = 409,231,530.20/26,053.46
  6. Step 6: Final answer
    x = 15,707.38

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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.