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Finding the Fourth Proportional to 24,578.63, 36,867.94 and 6,110.63

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Solution

The fourth proportional to 24,578.63, 36,867.94 and 6,110.63 is: 9,165.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,578.63 : 36,867.94 = 6,110.63 : x
  2. Step 2: Convert to fraction form
    24,578.63/36,867.94 = 6,110.63/x
  3. Step 3: Cross multiply
    24,578.63x = 36,867.94 × 6,110.63
  4. Step 4: Simplify right side
    24,578.63x = 225,286,155.86
  5. Step 5: Solve for x
    x = 225,286,155.86/24,578.63
  6. Step 6: Final answer
    x = 9,165.94

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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.