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Finding the Fourth Proportional to 21,238.66, 31,830.75 and 8,767.43

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Solution

The fourth proportional to 21,238.66, 31,830.75 and 8,767.43 is: 13,139.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,238.66 : 31,830.75 = 8,767.43 : x
  2. Step 2: Convert to fraction form
    21,238.66/31,830.75 = 8,767.43/x
  3. Step 3: Cross multiply
    21,238.66x = 31,830.75 × 8,767.43
  4. Step 4: Simplify right side
    21,238.66x = 279,073,872.47
  5. Step 5: Solve for x
    x = 279,073,872.47/21,238.66
  6. Step 6: Final answer
    x = 13,139.90

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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.