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Finding the Fourth Proportional to 25,645.32, 38,462.04 and 8,111.88

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Solution

The fourth proportional to 25,645.32, 38,462.04 and 8,111.88 is: 12,165.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,645.32 : 38,462.04 = 8,111.88 : x
  2. Step 2: Convert to fraction form
    25,645.32/38,462.04 = 8,111.88/x
  3. Step 3: Cross multiply
    25,645.32x = 38,462.04 × 8,111.88
  4. Step 4: Simplify right side
    25,645.32x = 311,999,453.04
  5. Step 5: Solve for x
    x = 311,999,453.04/25,645.32
  6. Step 6: Final answer
    x = 12,165.94

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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.