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Finding the Fourth Proportional to 25,618.96, 38,428.44 and 8,101.09

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Solution

The fourth proportional to 25,618.96, 38,428.44 and 8,101.09 is: 12,151.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,618.96 : 38,428.44 = 8,101.09 : x
  2. Step 2: Convert to fraction form
    25,618.96/38,428.44 = 8,101.09/x
  3. Step 3: Cross multiply
    25,618.96x = 38,428.44 × 8,101.09
  4. Step 4: Simplify right side
    25,618.96x = 311,312,251.00
  5. Step 5: Solve for x
    x = 311,312,251.00/25,618.96
  6. Step 6: Final answer
    x = 12,151.64

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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.