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Finding the Fourth Proportional to 25,809.80, 38,714.70 and 9,169.70

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Solution

The fourth proportional to 25,809.80, 38,714.70 and 9,169.70 is: 13,754.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,809.80 : 38,714.70 = 9,169.70 : x
  2. Step 2: Convert to fraction form
    25,809.80/38,714.70 = 9,169.70/x
  3. Step 3: Cross multiply
    25,809.80x = 38,714.70 × 9,169.70
  4. Step 4: Simplify right side
    25,809.80x = 355,002,184.59
  5. Step 5: Solve for x
    x = 355,002,184.59/25,809.80
  6. Step 6: Final answer
    x = 13,754.55

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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.