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Finding the Fourth Proportional to 24,596.74, 33,943.35 and 13,986.38

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Solution

The fourth proportional to 24,596.74, 33,943.35 and 13,986.38 is: 19,301.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,596.74 : 33,943.35 = 13,986.38 : x
  2. Step 2: Convert to fraction form
    24,596.74/33,943.35 = 13,986.38/x
  3. Step 3: Cross multiply
    24,596.74x = 33,943.35 × 13,986.38
  4. Step 4: Simplify right side
    24,596.74x = 474,744,591.57
  5. Step 5: Solve for x
    x = 474,744,591.57/24,596.74
  6. Step 6: Final answer
    x = 19,301.12

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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.