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Finding the Fourth Proportional to 25,772.80, 38,659.20 and 7,304.96

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Solution

The fourth proportional to 25,772.80, 38,659.20 and 7,304.96 is: 10,957.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,772.80 : 38,659.20 = 7,304.96 : x
  2. Step 2: Convert to fraction form
    25,772.80/38,659.20 = 7,304.96/x
  3. Step 3: Cross multiply
    25,772.80x = 38,659.20 × 7,304.96
  4. Step 4: Simplify right side
    25,772.80x = 282,403,909.63
  5. Step 5: Solve for x
    x = 282,403,909.63/25,772.80
  6. Step 6: Final answer
    x = 10,957.44

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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.