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Finding the Fourth Proportional to 22,898, 31,599.24 and 12,962

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Solution

The fourth proportional to 22,898, 31,599.24 and 12,962 is: 17,887.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,898 : 31,599.24 = 12,962 : x
  2. Step 2: Convert to fraction form
    22,898/31,599.24 = 12,962/x
  3. Step 3: Cross multiply
    22,898x = 31,599.24 × 12,962
  4. Step 4: Simplify right side
    22,898x = 409,589,348.88
  5. Step 5: Solve for x
    x = 409,589,348.88/22,898
  6. Step 6: Final answer
    x = 17,887.56

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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.