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Finding the Fourth Proportional to 24,113.97, 36,186 and 10,786.95

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Solution

The fourth proportional to 24,113.97, 36,186 and 10,786.95 is: 16,187.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,113.97 : 36,186 = 10,786.95 : x
  2. Step 2: Convert to fraction form
    24,113.97/36,186 = 10,786.95/x
  3. Step 3: Cross multiply
    24,113.97x = 36,186 × 10,786.95
  4. Step 4: Simplify right side
    24,113.97x = 390,336,572.70
  5. Step 5: Solve for x
    x = 390,336,572.70/24,113.97
  6. Step 6: Final answer
    x = 16,187.16

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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.