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Finding the Fourth Proportional to 12,216.87, 16,858.38 and 7,501.20

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Solution

The fourth proportional to 12,216.87, 16,858.38 and 7,501.20 is: 10,351.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,216.87 : 16,858.38 = 7,501.20 : x
  2. Step 2: Convert to fraction form
    12,216.87/16,858.38 = 7,501.20/x
  3. Step 3: Cross multiply
    12,216.87x = 16,858.38 × 7,501.20
  4. Step 4: Simplify right side
    12,216.87x = 126,458,080.06
  5. Step 5: Solve for x
    x = 126,458,080.06/12,216.87
  6. Step 6: Final answer
    x = 10,351.10

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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.