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Finding the Fourth Proportional to 26,432.84, 39,645.41 and 7,707.85

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Solution

The fourth proportional to 26,432.84, 39,645.41 and 7,707.85 is: 11,560.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,432.84 : 39,645.41 = 7,707.85 : x
  2. Step 2: Convert to fraction form
    26,432.84/39,645.41 = 7,707.85/x
  3. Step 3: Cross multiply
    26,432.84x = 39,645.41 × 7,707.85
  4. Step 4: Simplify right side
    26,432.84x = 305,580,735.82
  5. Step 5: Solve for x
    x = 305,580,735.82/26,432.84
  6. Step 6: Final answer
    x = 11,560.65

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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.