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Finding the Fourth Proportional to 25,630.80, 38,448.32 and 9,843.50

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Solution

The fourth proportional to 25,630.80, 38,448.32 and 9,843.50 is: 14,766.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,630.80 : 38,448.32 = 9,843.50 : x
  2. Step 2: Convert to fraction form
    25,630.80/38,448.32 = 9,843.50/x
  3. Step 3: Cross multiply
    25,630.80x = 38,448.32 × 9,843.50
  4. Step 4: Simplify right side
    25,630.80x = 378,465,796.46
  5. Step 5: Solve for x
    x = 378,465,796.46/25,630.80
  6. Step 6: Final answer
    x = 14,766.05

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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.