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Finding the Fourth Proportional to 24,876, 34,329.04 and 13,698.72

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Solution

The fourth proportional to 24,876, 34,329.04 and 13,698.72 is: 18,904.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,876 : 34,329.04 = 13,698.72 : x
  2. Step 2: Convert to fraction form
    24,876/34,329.04 = 13,698.72/x
  3. Step 3: Cross multiply
    24,876x = 34,329.04 × 13,698.72
  4. Step 4: Simplify right side
    24,876x = 470,263,906.83
  5. Step 5: Solve for x
    x = 470,263,906.83/24,876
  6. Step 6: Final answer
    x = 18,904.32

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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.