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Finding the Fourth Proportional to 24,568.62, 36,823.77 and 14,158.86

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Solution

The fourth proportional to 24,568.62, 36,823.77 and 14,158.86 is: 21,221.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,568.62 : 36,823.77 = 14,158.86 : x
  2. Step 2: Convert to fraction form
    24,568.62/36,823.77 = 14,158.86/x
  3. Step 3: Cross multiply
    24,568.62x = 36,823.77 × 14,158.86
  4. Step 4: Simplify right side
    24,568.62x = 521,382,604.10
  5. Step 5: Solve for x
    x = 521,382,604.10/24,568.62
  6. Step 6: Final answer
    x = 21,221.49

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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.