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Finding the Fourth Proportional to 12,933.68, 17,849.11 and 7,268.13

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Solution

The fourth proportional to 12,933.68, 17,849.11 and 7,268.13 is: 10,030.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,933.68 : 17,849.11 = 7,268.13 : x
  2. Step 2: Convert to fraction form
    12,933.68/17,849.11 = 7,268.13/x
  3. Step 3: Cross multiply
    12,933.68x = 17,849.11 × 7,268.13
  4. Step 4: Simplify right side
    12,933.68x = 129,729,647.32
  5. Step 5: Solve for x
    x = 129,729,647.32/12,933.68
  6. Step 6: Final answer
    x = 10,030.38

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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.