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Finding the Fourth Proportional to 24,594.31, 33,937.38 and 13,837.11

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Solution

The fourth proportional to 24,594.31, 33,937.38 and 13,837.11 is: 19,093.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,594.31 : 33,937.38 = 13,837.11 : x
  2. Step 2: Convert to fraction form
    24,594.31/33,937.38 = 13,837.11/x
  3. Step 3: Cross multiply
    24,594.31x = 33,937.38 × 13,837.11
  4. Step 4: Simplify right side
    24,594.31x = 469,595,260.17
  5. Step 5: Solve for x
    x = 469,595,260.17/24,594.31
  6. Step 6: Final answer
    x = 19,093.65

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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.