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Finding the Fourth Proportional to 11,952.51, 17,998.22 and 8,854.48

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Solution

The fourth proportional to 11,952.51, 17,998.22 and 8,854.48 is: 13,333.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,952.51 : 17,998.22 = 8,854.48 : x
  2. Step 2: Convert to fraction form
    11,952.51/17,998.22 = 8,854.48/x
  3. Step 3: Cross multiply
    11,952.51x = 17,998.22 × 8,854.48
  4. Step 4: Simplify right side
    11,952.51x = 159,364,873.85
  5. Step 5: Solve for x
    x = 159,364,873.85/11,952.51
  6. Step 6: Final answer
    x = 13,333.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.