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Finding the Fourth Proportional to 24,208.16, 33,405.34 and 13,597.44

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Solution

The fourth proportional to 24,208.16, 33,405.34 and 13,597.44 is: 18,763.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,208.16 : 33,405.34 = 13,597.44 : x
  2. Step 2: Convert to fraction form
    24,208.16/33,405.34 = 13,597.44/x
  3. Step 3: Cross multiply
    24,208.16x = 33,405.34 × 13,597.44
  4. Step 4: Simplify right side
    24,208.16x = 454,227,106.33
  5. Step 5: Solve for x
    x = 454,227,106.33/24,208.16
  6. Step 6: Final answer
    x = 18,763.39

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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.