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Finding the Fourth Proportional to 24,443.40, 33,731.73 and 13,832.82

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Solution

The fourth proportional to 24,443.40, 33,731.73 and 13,832.82 is: 19,089.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,443.40 : 33,731.73 = 13,832.82 : x
  2. Step 2: Convert to fraction form
    24,443.40/33,731.73 = 13,832.82/x
  3. Step 3: Cross multiply
    24,443.40x = 33,731.73 × 13,832.82
  4. Step 4: Simplify right side
    24,443.40x = 466,604,949.38
  5. Step 5: Solve for x
    x = 466,604,949.38/24,443.40
  6. Step 6: Final answer
    x = 19,089.20

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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.