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Finding the Fourth Proportional to 12,971.20, 17,901.12 and 7,382.08

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Solution

The fourth proportional to 12,971.20, 17,901.12 and 7,382.08 is: 10,187.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,971.20 : 17,901.12 = 7,382.08 : x
  2. Step 2: Convert to fraction form
    12,971.20/17,901.12 = 7,382.08/x
  3. Step 3: Cross multiply
    12,971.20x = 17,901.12 × 7,382.08
  4. Step 4: Simplify right side
    12,971.20x = 132,147,499.93
  5. Step 5: Solve for x
    x = 132,147,499.93/12,971.20
  6. Step 6: Final answer
    x = 10,187.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.