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Finding the Fourth Proportional to 25,674.80, 38,512.20 and 7,206.80

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Solution

The fourth proportional to 25,674.80, 38,512.20 and 7,206.80 is: 10,810.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,674.80 : 38,512.20 = 7,206.80 : x
  2. Step 2: Convert to fraction form
    25,674.80/38,512.20 = 7,206.80/x
  3. Step 3: Cross multiply
    25,674.80x = 38,512.20 × 7,206.80
  4. Step 4: Simplify right side
    25,674.80x = 277,549,722.96
  5. Step 5: Solve for x
    x = 277,549,722.96/25,674.80
  6. Step 6: Final answer
    x = 10,810.20

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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.