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Finding the Fourth Proportional to 24,275.50, 33,499.38 and 13,664.50

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Solution

The fourth proportional to 24,275.50, 33,499.38 and 13,664.50 is: 18,856.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,275.50 : 33,499.38 = 13,664.50 : x
  2. Step 2: Convert to fraction form
    24,275.50/33,499.38 = 13,664.50/x
  3. Step 3: Cross multiply
    24,275.50x = 33,499.38 × 13,664.50
  4. Step 4: Simplify right side
    24,275.50x = 457,752,278.01
  5. Step 5: Solve for x
    x = 457,752,278.01/24,275.50
  6. Step 6: Final answer
    x = 18,856.55

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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.