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Finding the Fourth Proportional to 25,366.38, 38,053.66 and 7,832.10

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Solution

The fourth proportional to 25,366.38, 38,053.66 and 7,832.10 is: 11,749.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,366.38 : 38,053.66 = 7,832.10 : x
  2. Step 2: Convert to fraction form
    25,366.38/38,053.66 = 7,832.10/x
  3. Step 3: Cross multiply
    25,366.38x = 38,053.66 × 7,832.10
  4. Step 4: Simplify right side
    25,366.38x = 298,040,070.49
  5. Step 5: Solve for x
    x = 298,040,070.49/25,366.38
  6. Step 6: Final answer
    x = 11,749.41

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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.