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Finding the Fourth Proportional to 12,945.36, 17,854.60 and 11,155.80

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Solution

The fourth proportional to 12,945.36, 17,854.60 and 11,155.80 is: 15,386.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,945.36 : 17,854.60 = 11,155.80 : x
  2. Step 2: Convert to fraction form
    12,945.36/17,854.60 = 11,155.80/x
  3. Step 3: Cross multiply
    12,945.36x = 17,854.60 × 11,155.80
  4. Step 4: Simplify right side
    12,945.36x = 199,182,346.68
  5. Step 5: Solve for x
    x = 199,182,346.68/12,945.36
  6. Step 6: Final answer
    x = 15,386.39

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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.