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Finding the Fourth Proportional to 24,879.72, 34,334.10 and 13,701.80

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Solution

The fourth proportional to 24,879.72, 34,334.10 and 13,701.80 is: 18,908.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,879.72 : 34,334.10 = 13,701.80 : x
  2. Step 2: Convert to fraction form
    24,879.72/34,334.10 = 13,701.80/x
  3. Step 3: Cross multiply
    24,879.72x = 34,334.10 × 13,701.80
  4. Step 4: Simplify right side
    24,879.72x = 470,438,971.38
  5. Step 5: Solve for x
    x = 470,438,971.38/24,879.72
  6. Step 6: Final answer
    x = 18,908.53

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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.