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Finding the Fourth Proportional to 24,504.42, 33,823.80 and 14,432.16

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Solution

The fourth proportional to 24,504.42, 33,823.80 and 14,432.16 is: 19,920.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,504.42 : 33,823.80 = 14,432.16 : x
  2. Step 2: Convert to fraction form
    24,504.42/33,823.80 = 14,432.16/x
  3. Step 3: Cross multiply
    24,504.42x = 33,823.80 × 14,432.16
  4. Step 4: Simplify right side
    24,504.42x = 488,150,493.41
  5. Step 5: Solve for x
    x = 488,150,493.41/24,504.42
  6. Step 6: Final answer
    x = 19,920.92

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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.