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Finding the Fourth Proportional to 24,578.16, 33,909.84 and 14,503.20

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Solution

The fourth proportional to 24,578.16, 33,909.84 and 14,503.20 is: 20,009.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,578.16 : 33,909.84 = 14,503.20 : x
  2. Step 2: Convert to fraction form
    24,578.16/33,909.84 = 14,503.20/x
  3. Step 3: Cross multiply
    24,578.16x = 33,909.84 × 14,503.20
  4. Step 4: Simplify right side
    24,578.16x = 491,801,191.49
  5. Step 5: Solve for x
    x = 491,801,191.49/24,578.16
  6. Step 6: Final answer
    x = 20,009.68

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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.