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Finding the Fourth Proportional to 11,969.16, 17,947.72 and 6,973.14

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Solution

The fourth proportional to 11,969.16, 17,947.72 and 6,973.14 is: 10,456.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969.16 : 17,947.72 = 6,973.14 : x
  2. Step 2: Convert to fraction form
    11,969.16/17,947.72 = 6,973.14/x
  3. Step 3: Cross multiply
    11,969.16x = 17,947.72 × 6,973.14
  4. Step 4: Simplify right side
    11,969.16x = 125,151,964.24
  5. Step 5: Solve for x
    x = 125,151,964.24/11,969.16
  6. Step 6: Final answer
    x = 10,456.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.