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Finding the Fourth Proportional to 24,804, 34,229.76 and 13,626.24

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Solution

The fourth proportional to 24,804, 34,229.76 and 13,626.24 is: 18,804.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,804 : 34,229.76 = 13,626.24 : x
  2. Step 2: Convert to fraction form
    24,804/34,229.76 = 13,626.24/x
  3. Step 3: Cross multiply
    24,804x = 34,229.76 × 13,626.24
  4. Step 4: Simplify right side
    24,804x = 466,422,924.90
  5. Step 5: Solve for x
    x = 466,422,924.90/24,804
  6. Step 6: Final answer
    x = 18,804.34

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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.