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Finding the Fourth Proportional to 26,020, 39,034.92 and 10,438.84

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Solution

The fourth proportional to 26,020, 39,034.92 and 10,438.84 is: 15,660.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,020 : 39,034.92 = 10,438.84 : x
  2. Step 2: Convert to fraction form
    26,020/39,034.92 = 10,438.84/x
  3. Step 3: Cross multiply
    26,020x = 39,034.92 × 10,438.84
  4. Step 4: Simplify right side
    26,020x = 407,479,284.29
  5. Step 5: Solve for x
    x = 407,479,284.29/26,020
  6. Step 6: Final answer
    x = 15,660.23

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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.