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Finding the Fourth Proportional to 20,810.88, 31,219.20 and 8,496

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Solution

The fourth proportional to 20,810.88, 31,219.20 and 8,496 is: 12,745.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,810.88 : 31,219.20 = 8,496 : x
  2. Step 2: Convert to fraction form
    20,810.88/31,219.20 = 8,496/x
  3. Step 3: Cross multiply
    20,810.88x = 31,219.20 × 8,496
  4. Step 4: Simplify right side
    20,810.88x = 265,238,323.20
  5. Step 5: Solve for x
    x = 265,238,323.20/20,810.88
  6. Step 6: Final answer
    x = 12,745.18

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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.