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Finding the Fourth Proportional to 22,214.24, 30,655.68 and 12,278.24

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Solution

The fourth proportional to 22,214.24, 30,655.68 and 12,278.24 is: 16,943.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,214.24 : 30,655.68 = 12,278.24 : x
  2. Step 2: Convert to fraction form
    22,214.24/30,655.68 = 12,278.24/x
  3. Step 3: Cross multiply
    22,214.24x = 30,655.68 × 12,278.24
  4. Step 4: Simplify right side
    22,214.24x = 376,397,796.40
  5. Step 5: Solve for x
    x = 376,397,796.40/22,214.24
  6. Step 6: Final answer
    x = 16,943.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.