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Finding the Fourth Proportional to 13,202.88, 19,782.48 and 11,540.76

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Solution

The fourth proportional to 13,202.88, 19,782.48 and 11,540.76 is: 17,292.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,202.88 : 19,782.48 = 11,540.76 : x
  2. Step 2: Convert to fraction form
    13,202.88/19,782.48 = 11,540.76/x
  3. Step 3: Cross multiply
    13,202.88x = 19,782.48 × 11,540.76
  4. Step 4: Simplify right side
    13,202.88x = 228,304,853.88
  5. Step 5: Solve for x
    x = 228,304,853.88/13,202.88
  6. Step 6: Final answer
    x = 17,292.05

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