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Finding the Fourth Proportional to 24,142.96, 33,328.92 and 15,194.80

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Solution

The fourth proportional to 24,142.96, 33,328.92 and 15,194.80 is: 20,976.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,142.96 : 33,328.92 = 15,194.80 : x
  2. Step 2: Convert to fraction form
    24,142.96/33,328.92 = 15,194.80/x
  3. Step 3: Cross multiply
    24,142.96x = 33,328.92 × 15,194.80
  4. Step 4: Simplify right side
    24,142.96x = 506,426,273.62
  5. Step 5: Solve for x
    x = 506,426,273.62/24,142.96
  6. Step 6: Final answer
    x = 20,976.15

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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.