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Finding the Fourth Proportional to 25,807.38, 38,706.21 and 10,012.38

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Solution

The fourth proportional to 25,807.38, 38,706.21 and 10,012.38 is: 15,016.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,807.38 : 38,706.21 = 10,012.38 : x
  2. Step 2: Convert to fraction form
    25,807.38/38,706.21 = 10,012.38/x
  3. Step 3: Cross multiply
    25,807.38x = 38,706.21 × 10,012.38
  4. Step 4: Simplify right side
    25,807.38x = 387,541,282.88
  5. Step 5: Solve for x
    x = 387,541,282.88/25,807.38
  6. Step 6: Final answer
    x = 15,016.68

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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.