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Finding the Fourth Proportional to 24,825.76, 34,266 and 16,439.20

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Solution

The fourth proportional to 24,825.76, 34,266 and 16,439.20 is: 22,690.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,825.76 : 34,266 = 16,439.20 : x
  2. Step 2: Convert to fraction form
    24,825.76/34,266 = 16,439.20/x
  3. Step 3: Cross multiply
    24,825.76x = 34,266 × 16,439.20
  4. Step 4: Simplify right side
    24,825.76x = 563,305,627.20
  5. Step 5: Solve for x
    x = 563,305,627.20/24,825.76
  6. Step 6: Final answer
    x = 22,690.37

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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.