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Finding the Fourth Proportional to 24,656.50, 34,025.97 and 13,478.50

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Solution

The fourth proportional to 24,656.50, 34,025.97 and 13,478.50 is: 18,600.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,656.50 : 34,025.97 = 13,478.50 : x
  2. Step 2: Convert to fraction form
    24,656.50/34,025.97 = 13,478.50/x
  3. Step 3: Cross multiply
    24,656.50x = 34,025.97 × 13,478.50
  4. Step 4: Simplify right side
    24,656.50x = 458,619,036.65
  5. Step 5: Solve for x
    x = 458,619,036.65/24,656.50
  6. Step 6: Final answer
    x = 18,600.33

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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.