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Finding the Fourth Proportional to 24,217.60, 33,426.72 and 14,657.60

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Solution

The fourth proportional to 24,217.60, 33,426.72 and 14,657.60 is: 20,231.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,217.60 : 33,426.72 = 14,657.60 : x
  2. Step 2: Convert to fraction form
    24,217.60/33,426.72 = 14,657.60/x
  3. Step 3: Cross multiply
    24,217.60x = 33,426.72 × 14,657.60
  4. Step 4: Simplify right side
    24,217.60x = 489,955,491.07
  5. Step 5: Solve for x
    x = 489,955,491.07/24,217.60
  6. Step 6: Final answer
    x = 20,231.38

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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.