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Finding the Fourth Proportional to 12,949.44, 17,873.76 and 9,232.32

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Solution

The fourth proportional to 12,949.44, 17,873.76 and 9,232.32 is: 12,743.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,949.44 : 17,873.76 = 9,232.32 : x
  2. Step 2: Convert to fraction form
    12,949.44/17,873.76 = 9,232.32/x
  3. Step 3: Cross multiply
    12,949.44x = 17,873.76 × 9,232.32
  4. Step 4: Simplify right side
    12,949.44x = 165,016,271.92
  5. Step 5: Solve for x
    x = 165,016,271.92/12,949.44
  6. Step 6: Final answer
    x = 12,743.12

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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.