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Finding the Fourth Proportional to 15,167.92, 20,918.64 and 9,860.80

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Solution

The fourth proportional to 15,167.92, 20,918.64 and 9,860.80 is: 13,599.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,167.92 : 20,918.64 = 9,860.80 : x
  2. Step 2: Convert to fraction form
    15,167.92/20,918.64 = 9,860.80/x
  3. Step 3: Cross multiply
    15,167.92x = 20,918.64 × 9,860.80
  4. Step 4: Simplify right side
    15,167.92x = 206,274,525.31
  5. Step 5: Solve for x
    x = 206,274,525.31/15,167.92
  6. Step 6: Final answer
    x = 13,599.39

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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.