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Finding the Fourth Proportional to 20,159.61, 27,820.90 and 11,207.49

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Solution

The fourth proportional to 20,159.61, 27,820.90 and 11,207.49 is: 15,466.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,159.61 : 27,820.90 = 11,207.49 : x
  2. Step 2: Convert to fraction form
    20,159.61/27,820.90 = 11,207.49/x
  3. Step 3: Cross multiply
    20,159.61x = 27,820.90 × 11,207.49
  4. Step 4: Simplify right side
    20,159.61x = 311,802,458.54
  5. Step 5: Solve for x
    x = 311,802,458.54/20,159.61
  6. Step 6: Final answer
    x = 15,466.69

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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.