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Finding the Fourth Proportional to 22,788.01, 31,446.13 and 12,715.66

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Solution

The fourth proportional to 22,788.01, 31,446.13 and 12,715.66 is: 17,546.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,788.01 : 31,446.13 = 12,715.66 : x
  2. Step 2: Convert to fraction form
    22,788.01/31,446.13 = 12,715.66/x
  3. Step 3: Cross multiply
    22,788.01x = 31,446.13 × 12,715.66
  4. Step 4: Simplify right side
    22,788.01x = 399,858,297.40
  5. Step 5: Solve for x
    x = 399,858,297.40/22,788.01
  6. Step 6: Final answer
    x = 17,546.87

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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.