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Finding the Fourth Proportional to 21,012.42, 31,528.20 and 7,865.82

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Solution

The fourth proportional to 21,012.42, 31,528.20 and 7,865.82 is: 11,802.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,012.42 : 31,528.20 = 7,865.82 : x
  2. Step 2: Convert to fraction form
    21,012.42/31,528.20 = 7,865.82/x
  3. Step 3: Cross multiply
    21,012.42x = 31,528.20 × 7,865.82
  4. Step 4: Simplify right side
    21,012.42x = 247,995,175.62
  5. Step 5: Solve for x
    x = 247,995,175.62/21,012.42
  6. Step 6: Final answer
    x = 11,802.31

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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.