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Finding the Fourth Proportional to 25,728.32, 38,596.80 and 8,203.52

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Solution

The fourth proportional to 25,728.32, 38,596.80 and 8,203.52 is: 12,306.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,728.32 : 38,596.80 = 8,203.52 : x
  2. Step 2: Convert to fraction form
    25,728.32/38,596.80 = 8,203.52/x
  3. Step 3: Cross multiply
    25,728.32x = 38,596.80 × 8,203.52
  4. Step 4: Simplify right side
    25,728.32x = 316,629,620.74
  5. Step 5: Solve for x
    x = 316,629,620.74/25,728.32
  6. Step 6: Final answer
    x = 12,306.66

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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.