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Finding the Fourth Proportional to 24,201.84, 33,405.50 and 14,641.76

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Solution

The fourth proportional to 24,201.84, 33,405.50 and 14,641.76 is: 20,209.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,201.84 : 33,405.50 = 14,641.76 : x
  2. Step 2: Convert to fraction form
    24,201.84/33,405.50 = 14,641.76/x
  3. Step 3: Cross multiply
    24,201.84x = 33,405.50 × 14,641.76
  4. Step 4: Simplify right side
    24,201.84x = 489,115,313.68
  5. Step 5: Solve for x
    x = 489,115,313.68/24,201.84
  6. Step 6: Final answer
    x = 20,209.84

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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.