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Finding the Fourth Proportional to 12,216.22, 16,854.48 and 7,435.80

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Solution

The fourth proportional to 12,216.22, 16,854.48 and 7,435.80 is: 10,259.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,216.22 : 16,854.48 = 7,435.80 : x
  2. Step 2: Convert to fraction form
    12,216.22/16,854.48 = 7,435.80/x
  3. Step 3: Cross multiply
    12,216.22x = 16,854.48 × 7,435.80
  4. Step 4: Simplify right side
    12,216.22x = 125,326,542.38
  5. Step 5: Solve for x
    x = 125,326,542.38/12,216.22
  6. Step 6: Final answer
    x = 10,259.03

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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.