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Finding the Fourth Proportional to 24,209.60, 33,411.86 and 14,654.74

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Solution

The fourth proportional to 24,209.60, 33,411.86 and 14,654.74 is: 20,225.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,209.60 : 33,411.86 = 14,654.74 : x
  2. Step 2: Convert to fraction form
    24,209.60/33,411.86 = 14,654.74/x
  3. Step 3: Cross multiply
    24,209.60x = 33,411.86 × 14,654.74
  4. Step 4: Simplify right side
    24,209.60x = 489,642,121.22
  5. Step 5: Solve for x
    x = 489,642,121.22/24,209.60
  6. Step 6: Final answer
    x = 20,225.12

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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.