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Finding the Fourth Proportional to 24,649, 34,015.64 and 13,471

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Solution

The fourth proportional to 24,649, 34,015.64 and 13,471 is: 18,589.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,649 : 34,015.64 = 13,471 : x
  2. Step 2: Convert to fraction form
    24,649/34,015.64 = 13,471/x
  3. Step 3: Cross multiply
    24,649x = 34,015.64 × 13,471
  4. Step 4: Simplify right side
    24,649x = 458,224,686.44
  5. Step 5: Solve for x
    x = 458,224,686.44/24,649
  6. Step 6: Final answer
    x = 18,589.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.