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Finding the Fourth Proportional to 21,008.57, 31,513.23 and 6,217.47

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Solution

The fourth proportional to 21,008.57, 31,513.23 and 6,217.47 is: 9,326.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,008.57 : 31,513.23 = 6,217.47 : x
  2. Step 2: Convert to fraction form
    21,008.57/31,513.23 = 6,217.47/x
  3. Step 3: Cross multiply
    21,008.57x = 31,513.23 × 6,217.47
  4. Step 4: Simplify right side
    21,008.57x = 195,932,562.13
  5. Step 5: Solve for x
    x = 195,932,562.13/21,008.57
  6. Step 6: Final answer
    x = 9,326.32

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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.