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Finding the Fourth Proportional to 24,759.87, 34,168.51 and 13,429.32

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Solution

The fourth proportional to 24,759.87, 34,168.51 and 13,429.32 is: 18,532.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,759.87 : 34,168.51 = 13,429.32 : x
  2. Step 2: Convert to fraction form
    24,759.87/34,168.51 = 13,429.32/x
  3. Step 3: Cross multiply
    24,759.87x = 34,168.51 × 13,429.32
  4. Step 4: Simplify right side
    24,759.87x = 458,859,743.37
  5. Step 5: Solve for x
    x = 458,859,743.37/24,759.87
  6. Step 6: Final answer
    x = 18,532.40

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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.