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Finding the Fourth Proportional to 25,726.32, 38,593.80 and 8,201.52

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Solution

The fourth proportional to 25,726.32, 38,593.80 and 8,201.52 is: 12,303.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,726.32 : 38,593.80 = 8,201.52 : x
  2. Step 2: Convert to fraction form
    25,726.32/38,593.80 = 8,201.52/x
  3. Step 3: Cross multiply
    25,726.32x = 38,593.80 × 8,201.52
  4. Step 4: Simplify right side
    25,726.32x = 316,527,822.58
  5. Step 5: Solve for x
    x = 316,527,822.58/25,726.32
  6. Step 6: Final answer
    x = 12,303.66

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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.