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Finding the Fourth Proportional to 24,105, 36,158.14 and 7,689

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Solution

The fourth proportional to 24,105, 36,158.14 and 7,689 is: 11,533.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,105 : 36,158.14 = 7,689 : x
  2. Step 2: Convert to fraction form
    24,105/36,158.14 = 7,689/x
  3. Step 3: Cross multiply
    24,105x = 36,158.14 × 7,689
  4. Step 4: Simplify right side
    24,105x = 278,019,938.46
  5. Step 5: Solve for x
    x = 278,019,938.46/24,105
  6. Step 6: Final answer
    x = 11,533.70

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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.