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Finding the Fourth Proportional to 12,969.12, 17,903.92 and 10,131.36

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Solution

The fourth proportional to 12,969.12, 17,903.92 and 10,131.36 is: 13,986.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,969.12 : 17,903.92 = 10,131.36 : x
  2. Step 2: Convert to fraction form
    12,969.12/17,903.92 = 10,131.36/x
  3. Step 3: Cross multiply
    12,969.12x = 17,903.92 × 10,131.36
  4. Step 4: Simplify right side
    12,969.12x = 181,391,058.93
  5. Step 5: Solve for x
    x = 181,391,058.93/12,969.12
  6. Step 6: Final answer
    x = 13,986.38

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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.