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Finding the Fourth Proportional to 21,012.51, 31,517.86 and 5,217.17

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Solution

The fourth proportional to 21,012.51, 31,517.86 and 5,217.17 is: 7,825.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,012.51 : 31,517.86 = 5,217.17 : x
  2. Step 2: Convert to fraction form
    21,012.51/31,517.86 = 5,217.17/x
  3. Step 3: Cross multiply
    21,012.51x = 31,517.86 × 5,217.17
  4. Step 4: Simplify right side
    21,012.51x = 164,434,094.42
  5. Step 5: Solve for x
    x = 164,434,094.42/21,012.51
  6. Step 6: Final answer
    x = 7,825.53

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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.