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Finding the Fourth Proportional to 11,854.56, 17,739.96 and 8,727.24

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Solution

The fourth proportional to 11,854.56, 17,739.96 and 8,727.24 is: 13,060.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,854.56 : 17,739.96 = 8,727.24 : x
  2. Step 2: Convert to fraction form
    11,854.56/17,739.96 = 8,727.24/x
  3. Step 3: Cross multiply
    11,854.56x = 17,739.96 × 8,727.24
  4. Step 4: Simplify right side
    11,854.56x = 154,820,888.51
  5. Step 5: Solve for x
    x = 154,820,888.51/11,854.56
  6. Step 6: Final answer
    x = 13,060.03

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Why These Related Problems?

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