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Finding the Fourth Proportional to 22,493.17, 31,040.39 and 12,422.29

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Solution

The fourth proportional to 22,493.17, 31,040.39 and 12,422.29 is: 17,142.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,493.17 : 31,040.39 = 12,422.29 : x
  2. Step 2: Convert to fraction form
    22,493.17/31,040.39 = 12,422.29/x
  3. Step 3: Cross multiply
    22,493.17x = 31,040.39 × 12,422.29
  4. Step 4: Simplify right side
    22,493.17x = 385,592,508.98
  5. Step 5: Solve for x
    x = 385,592,508.98/22,493.17
  6. Step 6: Final answer
    x = 17,142.65

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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.