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Finding the Fourth Proportional to 24,908.85, 34,373.57 and 13,578.57

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Solution

The fourth proportional to 24,908.85, 34,373.57 and 13,578.57 is: 18,738.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,908.85 : 34,373.57 = 13,578.57 : x
  2. Step 2: Convert to fraction form
    24,908.85/34,373.57 = 13,578.57/x
  3. Step 3: Cross multiply
    24,908.85x = 34,373.57 × 13,578.57
  4. Step 4: Simplify right side
    24,908.85x = 466,743,858.50
  5. Step 5: Solve for x
    x = 466,743,858.50/24,908.85
  6. Step 6: Final answer
    x = 18,738.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.