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Finding the Fourth Proportional to 24,978.36, 34,470.36 and 13,648.20

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Solution

The fourth proportional to 24,978.36, 34,470.36 and 13,648.20 is: 18,834.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,978.36 : 34,470.36 = 13,648.20 : x
  2. Step 2: Convert to fraction form
    24,978.36/34,470.36 = 13,648.20/x
  3. Step 3: Cross multiply
    24,978.36x = 34,470.36 × 13,648.20
  4. Step 4: Simplify right side
    24,978.36x = 470,458,367.35
  5. Step 5: Solve for x
    x = 470,458,367.35/24,978.36
  6. Step 6: Final answer
    x = 18,834.64

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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.