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Finding the Fourth Proportional to 12,216.39, 16,858.80 and 7,180.71

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Solution

The fourth proportional to 12,216.39, 16,858.80 and 7,180.71 is: 9,909.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,216.39 : 16,858.80 = 7,180.71 : x
  2. Step 2: Convert to fraction form
    12,216.39/16,858.80 = 7,180.71/x
  3. Step 3: Cross multiply
    12,216.39x = 16,858.80 × 7,180.71
  4. Step 4: Simplify right side
    12,216.39x = 121,058,153.75
  5. Step 5: Solve for x
    x = 121,058,153.75/12,216.39
  6. Step 6: Final answer
    x = 9,909.49

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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.