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Finding the Fourth Proportional to 24,911.87, 34,378.16 and 13,733.87

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Solution

The fourth proportional to 24,911.87, 34,378.16 and 13,733.87 is: 18,952.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,911.87 : 34,378.16 = 13,733.87 : x
  2. Step 2: Convert to fraction form
    24,911.87/34,378.16 = 13,733.87/x
  3. Step 3: Cross multiply
    24,911.87x = 34,378.16 × 13,733.87
  4. Step 4: Simplify right side
    24,911.87x = 472,145,111.61
  5. Step 5: Solve for x
    x = 472,145,111.61/24,911.87
  6. Step 6: Final answer
    x = 18,952.62

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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.