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Finding the Fourth Proportional to 12,055.52, 17,964.96 and 11,659.16

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Solution

The fourth proportional to 12,055.52, 17,964.96 and 11,659.16 is: 17,374.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,055.52 : 17,964.96 = 11,659.16 : x
  2. Step 2: Convert to fraction form
    12,055.52/17,964.96 = 11,659.16/x
  3. Step 3: Cross multiply
    12,055.52x = 17,964.96 × 11,659.16
  4. Step 4: Simplify right side
    12,055.52x = 209,456,343.03
  5. Step 5: Solve for x
    x = 209,456,343.03/12,055.52
  6. Step 6: Final answer
    x = 17,374.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.