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Finding the Fourth Proportional to 24,394.50, 33,664.42 and 13,216.50

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Solution

The fourth proportional to 24,394.50, 33,664.42 and 13,216.50 is: 18,238.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,394.50 : 33,664.42 = 13,216.50 : x
  2. Step 2: Convert to fraction form
    24,394.50/33,664.42 = 13,216.50/x
  3. Step 3: Cross multiply
    24,394.50x = 33,664.42 × 13,216.50
  4. Step 4: Simplify right side
    24,394.50x = 444,925,806.93
  5. Step 5: Solve for x
    x = 444,925,806.93/24,394.50
  6. Step 6: Final answer
    x = 18,238.78

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1.5x scale

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.