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Finding the Fourth Proportional to 24,588.80, 36,855.60 and 9,793.76

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Solution

The fourth proportional to 24,588.80, 36,855.60 and 9,793.76 is: 14,679.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,588.80 : 36,855.60 = 9,793.76 : x
  2. Step 2: Convert to fraction form
    24,588.80/36,855.60 = 9,793.76/x
  3. Step 3: Cross multiply
    24,588.80x = 36,855.60 × 9,793.76
  4. Step 4: Simplify right side
    24,588.80x = 360,954,901.06
  5. Step 5: Solve for x
    x = 360,954,901.06/24,588.80
  6. Step 6: Final answer
    x = 14,679.65

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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.