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Finding the Fourth Proportional to 24,838.78, 34,278.39 and 14,230.46

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Solution

The fourth proportional to 24,838.78, 34,278.39 and 14,230.46 is: 19,638.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,838.78 : 34,278.39 = 14,230.46 : x
  2. Step 2: Convert to fraction form
    24,838.78/34,278.39 = 14,230.46/x
  3. Step 3: Cross multiply
    24,838.78x = 34,278.39 × 14,230.46
  4. Step 4: Simplify right side
    24,838.78x = 487,797,247.05
  5. Step 5: Solve for x
    x = 487,797,247.05/24,838.78
  6. Step 6: Final answer
    x = 19,638.54

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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.