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Finding the Fourth Proportional to 26,221.84, 39,335.98 and 9,589.70

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Solution

The fourth proportional to 26,221.84, 39,335.98 and 9,589.70 is: 14,385.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,221.84 : 39,335.98 = 9,589.70 : x
  2. Step 2: Convert to fraction form
    26,221.84/39,335.98 = 9,589.70/x
  3. Step 3: Cross multiply
    26,221.84x = 39,335.98 × 9,589.70
  4. Step 4: Simplify right side
    26,221.84x = 377,220,247.41
  5. Step 5: Solve for x
    x = 377,220,247.41/26,221.84
  6. Step 6: Final answer
    x = 14,385.73

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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.