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Finding the Fourth Proportional to 24,405.84, 33,679.98 and 13,227.84

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Solution

The fourth proportional to 24,405.84, 33,679.98 and 13,227.84 is: 18,254.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,405.84 : 33,679.98 = 13,227.84 : x
  2. Step 2: Convert to fraction form
    24,405.84/33,679.98 = 13,227.84/x
  3. Step 3: Cross multiply
    24,405.84x = 33,679.98 × 13,227.84
  4. Step 4: Simplify right side
    24,405.84x = 445,513,386.64
  5. Step 5: Solve for x
    x = 445,513,386.64/24,405.84
  6. Step 6: Final answer
    x = 18,254.38

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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.