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Finding the Fourth Proportional to 25,751.92, 38,603.22 and 8,210.38

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Solution

The fourth proportional to 25,751.92, 38,603.22 and 8,210.38 is: 12,307.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,751.92 : 38,603.22 = 8,210.38 : x
  2. Step 2: Convert to fraction form
    25,751.92/38,603.22 = 8,210.38/x
  3. Step 3: Cross multiply
    25,751.92x = 38,603.22 × 8,210.38
  4. Step 4: Simplify right side
    25,751.92x = 316,947,105.42
  5. Step 5: Solve for x
    x = 316,947,105.42/25,751.92
  6. Step 6: Final answer
    x = 12,307.71

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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.