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Finding the Fourth Proportional to 12,852.48, 17,719.34 and 11,540.28

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Solution

The fourth proportional to 12,852.48, 17,719.34 and 11,540.28 is: 15,910.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,852.48 : 17,719.34 = 11,540.28 : x
  2. Step 2: Convert to fraction form
    12,852.48/17,719.34 = 11,540.28/x
  3. Step 3: Cross multiply
    12,852.48x = 17,719.34 × 11,540.28
  4. Step 4: Simplify right side
    12,852.48x = 204,486,145.02
  5. Step 5: Solve for x
    x = 204,486,145.02/12,852.48
  6. Step 6: Final answer
    x = 15,910.25

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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.