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Finding the Fourth Proportional to 21,184.25, 31,776.41 and 8,695.57

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Solution

The fourth proportional to 21,184.25, 31,776.41 and 8,695.57 is: 13,043.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,184.25 : 31,776.41 = 8,695.57 : x
  2. Step 2: Convert to fraction form
    21,184.25/31,776.41 = 8,695.57/x
  3. Step 3: Cross multiply
    21,184.25x = 31,776.41 × 8,695.57
  4. Step 4: Simplify right side
    21,184.25x = 276,313,939.80
  5. Step 5: Solve for x
    x = 276,313,939.80/21,184.25
  6. Step 6: Final answer
    x = 13,043.37

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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.