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Finding the Fourth Proportional to 13,616.76, 20,424.57 and 3,755.78

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Solution

The fourth proportional to 13,616.76, 20,424.57 and 3,755.78 is: 5,633.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,616.76 : 20,424.57 = 3,755.78 : x
  2. Step 2: Convert to fraction form
    13,616.76/20,424.57 = 3,755.78/x
  3. Step 3: Cross multiply
    13,616.76x = 20,424.57 × 3,755.78
  4. Step 4: Simplify right side
    13,616.76x = 76,710,089.39
  5. Step 5: Solve for x
    x = 76,710,089.39/13,616.76
  6. Step 6: Final answer
    x = 5,633.51

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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.