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Finding the Fourth Proportional to 20,175.66, 30,266.82 and 7,031.88

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Solution

The fourth proportional to 20,175.66, 30,266.82 and 7,031.88 is: 10,548.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,175.66 : 30,266.82 = 7,031.88 : x
  2. Step 2: Convert to fraction form
    20,175.66/30,266.82 = 7,031.88/x
  3. Step 3: Cross multiply
    20,175.66x = 30,266.82 × 7,031.88
  4. Step 4: Simplify right side
    20,175.66x = 212,832,646.22
  5. Step 5: Solve for x
    x = 212,832,646.22/20,175.66
  6. Step 6: Final answer
    x = 10,548.98

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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.