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Finding the Fourth Proportional to 20,877.82, 31,297.13 and 7,017.10

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Solution

The fourth proportional to 20,877.82, 31,297.13 and 7,017.10 is: 10,519.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,877.82 : 31,297.13 = 7,017.10 : x
  2. Step 2: Convert to fraction form
    20,877.82/31,297.13 = 7,017.10/x
  3. Step 3: Cross multiply
    20,877.82x = 31,297.13 × 7,017.10
  4. Step 4: Simplify right side
    20,877.82x = 219,615,090.92
  5. Step 5: Solve for x
    x = 219,615,090.92/20,877.82
  6. Step 6: Final answer
    x = 10,519.06

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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.