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Finding the Fourth Proportional to 20,031.40, 27,643.17 and 11,078.88

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Solution

The fourth proportional to 20,031.40, 27,643.17 and 11,078.88 is: 15,288.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,031.40 : 27,643.17 = 11,078.88 : x
  2. Step 2: Convert to fraction form
    20,031.40/27,643.17 = 11,078.88/x
  3. Step 3: Cross multiply
    20,031.40x = 27,643.17 × 11,078.88
  4. Step 4: Simplify right side
    20,031.40x = 306,255,363.25
  5. Step 5: Solve for x
    x = 306,255,363.25/20,031.40
  6. Step 6: Final answer
    x = 15,288.76

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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.