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Finding the Fourth Proportional to 25,470.80, 38,206.20 and 7,002.80

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Solution

The fourth proportional to 25,470.80, 38,206.20 and 7,002.80 is: 10,504.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,470.80 : 38,206.20 = 7,002.80 : x
  2. Step 2: Convert to fraction form
    25,470.80/38,206.20 = 7,002.80/x
  3. Step 3: Cross multiply
    25,470.80x = 38,206.20 × 7,002.80
  4. Step 4: Simplify right side
    25,470.80x = 267,550,377.36
  5. Step 5: Solve for x
    x = 267,550,377.36/25,470.80
  6. Step 6: Final answer
    x = 10,504.20

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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.