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Finding the Fourth Proportional to 25,867.35, 38,801.84 and 9,227.12

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Solution

The fourth proportional to 25,867.35, 38,801.84 and 9,227.12 is: 13,840.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,867.35 : 38,801.84 = 9,227.12 : x
  2. Step 2: Convert to fraction form
    25,867.35/38,801.84 = 9,227.12/x
  3. Step 3: Cross multiply
    25,867.35x = 38,801.84 × 9,227.12
  4. Step 4: Simplify right side
    25,867.35x = 358,028,993.76
  5. Step 5: Solve for x
    x = 358,028,993.76/25,867.35
  6. Step 6: Final answer
    x = 13,840.96

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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.