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Finding the Fourth Proportional to 21,148.57, 31,712.49 and 8,665.21

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Solution

The fourth proportional to 21,148.57, 31,712.49 and 8,665.21 is: 12,993.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,148.57 : 31,712.49 = 8,665.21 : x
  2. Step 2: Convert to fraction form
    21,148.57/31,712.49 = 8,665.21/x
  3. Step 3: Cross multiply
    21,148.57x = 31,712.49 × 8,665.21
  4. Step 4: Simplify right side
    21,148.57x = 274,795,306.19
  5. Step 5: Solve for x
    x = 274,795,306.19/21,148.57
  6. Step 6: Final answer
    x = 12,993.57

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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.