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Finding the Fourth Proportional to 20,143.71, 27,798.82 and 11,069

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Solution

The fourth proportional to 20,143.71, 27,798.82 and 11,069 is: 15,275.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,143.71 : 27,798.82 = 11,069 : x
  2. Step 2: Convert to fraction form
    20,143.71/27,798.82 = 11,069/x
  3. Step 3: Cross multiply
    20,143.71x = 27,798.82 × 11,069
  4. Step 4: Simplify right side
    20,143.71x = 307,705,138.58
  5. Step 5: Solve for x
    x = 307,705,138.58/20,143.71
  6. Step 6: Final answer
    x = 15,275.49

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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.