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Finding the Fourth Proportional to 24,805.76, 34,231.68 and 14,195.20

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Solution

The fourth proportional to 24,805.76, 34,231.68 and 14,195.20 is: 19,589.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,805.76 : 34,231.68 = 14,195.20 : x
  2. Step 2: Convert to fraction form
    24,805.76/34,231.68 = 14,195.20/x
  3. Step 3: Cross multiply
    24,805.76x = 34,231.68 × 14,195.20
  4. Step 4: Simplify right side
    24,805.76x = 485,925,543.94
  5. Step 5: Solve for x
    x = 485,925,543.94/24,805.76
  6. Step 6: Final answer
    x = 19,589.22

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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.