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Finding the Fourth Proportional to 25,300.80, 37,951.20 and 9,718.80

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Solution

The fourth proportional to 25,300.80, 37,951.20 and 9,718.80 is: 14,578.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,300.80 : 37,951.20 = 9,718.80 : x
  2. Step 2: Convert to fraction form
    25,300.80/37,951.20 = 9,718.80/x
  3. Step 3: Cross multiply
    25,300.80x = 37,951.20 × 9,718.80
  4. Step 4: Simplify right side
    25,300.80x = 368,840,122.56
  5. Step 5: Solve for x
    x = 368,840,122.56/25,300.80
  6. Step 6: Final answer
    x = 14,578.20

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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.