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Finding the Fourth Proportional to 12,416.39, 17,138.25 and 7,384.15

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Solution

The fourth proportional to 12,416.39, 17,138.25 and 7,384.15 is: 10,192.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,416.39 : 17,138.25 = 7,384.15 : x
  2. Step 2: Convert to fraction form
    12,416.39/17,138.25 = 7,384.15/x
  3. Step 3: Cross multiply
    12,416.39x = 17,138.25 × 7,384.15
  4. Step 4: Simplify right side
    12,416.39x = 126,551,408.74
  5. Step 5: Solve for x
    x = 126,551,408.74/12,416.39
  6. Step 6: Final answer
    x = 10,192.29

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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.