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Finding the Fourth Proportional to 24,209.54, 33,416.16 and 14,649.48

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Solution

The fourth proportional to 24,209.54, 33,416.16 and 14,649.48 is: 20,220.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,209.54 : 33,416.16 = 14,649.48 : x
  2. Step 2: Convert to fraction form
    24,209.54/33,416.16 = 14,649.48/x
  3. Step 3: Cross multiply
    24,209.54x = 33,416.16 × 14,649.48
  4. Step 4: Simplify right side
    24,209.54x = 489,529,367.60
  5. Step 5: Solve for x
    x = 489,529,367.60/24,209.54
  6. Step 6: Final answer
    x = 20,220.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.