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Finding the Fourth Proportional to 24,083.68, 36,062.34 and 18,523.84

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Solution

The fourth proportional to 24,083.68, 36,062.34 and 18,523.84 is: 27,737.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,083.68 : 36,062.34 = 18,523.84 : x
  2. Step 2: Convert to fraction form
    24,083.68/36,062.34 = 18,523.84/x
  3. Step 3: Cross multiply
    24,083.68x = 36,062.34 × 18,523.84
  4. Step 4: Simplify right side
    24,083.68x = 668,013,016.19
  5. Step 5: Solve for x
    x = 668,013,016.19/24,083.68
  6. Step 6: Final answer
    x = 27,737.17

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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.