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Finding the Fourth Proportional to 11,852.52, 17,868.72 and 11,217.48

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Solution

The fourth proportional to 11,852.52, 17,868.72 and 11,217.48 is: 16,911.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,852.52 : 17,868.72 = 11,217.48 : x
  2. Step 2: Convert to fraction form
    11,852.52/17,868.72 = 11,217.48/x
  3. Step 3: Cross multiply
    11,852.52x = 17,868.72 × 11,217.48
  4. Step 4: Simplify right side
    11,852.52x = 200,442,009.23
  5. Step 5: Solve for x
    x = 200,442,009.23/11,852.52
  6. Step 6: Final answer
    x = 16,911.34

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