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Finding the Fourth Proportional to 25,478.28, 38,205.12 and 10,683.21

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Solution

The fourth proportional to 25,478.28, 38,205.12 and 10,683.21 is: 16,019.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,478.28 : 38,205.12 = 10,683.21 : x
  2. Step 2: Convert to fraction form
    25,478.28/38,205.12 = 10,683.21/x
  3. Step 3: Cross multiply
    25,478.28x = 38,205.12 × 10,683.21
  4. Step 4: Simplify right side
    25,478.28x = 408,153,320.04
  5. Step 5: Solve for x
    x = 408,153,320.04/25,478.28
  6. Step 6: Final answer
    x = 16,019.66

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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.