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Finding the Fourth Proportional to 22,605.41, 31,195.73 and 12,533.97

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Solution

The fourth proportional to 22,605.41, 31,195.73 and 12,533.97 is: 17,297.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,605.41 : 31,195.73 = 12,533.97 : x
  2. Step 2: Convert to fraction form
    22,605.41/31,195.73 = 12,533.97/x
  3. Step 3: Cross multiply
    22,605.41x = 31,195.73 × 12,533.97
  4. Step 4: Simplify right side
    22,605.41x = 391,006,492.27
  5. Step 5: Solve for x
    x = 391,006,492.27/22,605.41
  6. Step 6: Final answer
    x = 17,297.03

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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.