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Finding the Fourth Proportional to 24,065.40, 36,105 and 12,218.68

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Solution

The fourth proportional to 24,065.40, 36,105 and 12,218.68 is: 18,331.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,065.40 : 36,105 = 12,218.68 : x
  2. Step 2: Convert to fraction form
    24,065.40/36,105 = 12,218.68/x
  3. Step 3: Cross multiply
    24,065.40x = 36,105 × 12,218.68
  4. Step 4: Simplify right side
    24,065.40x = 441,155,441.40
  5. Step 5: Solve for x
    x = 441,155,441.40/24,065.40
  6. Step 6: Final answer
    x = 18,331.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.