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Finding the Fourth Proportional to 21,019.46, 31,531.41 and 8,537.62

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Solution

The fourth proportional to 21,019.46, 31,531.41 and 8,537.62 is: 12,807.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,019.46 : 31,531.41 = 8,537.62 : x
  2. Step 2: Convert to fraction form
    21,019.46/31,531.41 = 8,537.62/x
  3. Step 3: Cross multiply
    21,019.46x = 31,531.41 × 8,537.62
  4. Step 4: Simplify right side
    21,019.46x = 269,203,079.93
  5. Step 5: Solve for x
    x = 269,203,079.93/21,019.46
  6. Step 6: Final answer
    x = 12,807.32

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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.