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Finding the Fourth Proportional to 22,607.31, 31,196.83 and 12,535.16

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Solution

The fourth proportional to 22,607.31, 31,196.83 and 12,535.16 is: 17,297.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,607.31 : 31,196.83 = 12,535.16 : x
  2. Step 2: Convert to fraction form
    22,607.31/31,196.83 = 12,535.16/x
  3. Step 3: Cross multiply
    22,607.31x = 31,196.83 × 12,535.16
  4. Step 4: Simplify right side
    22,607.31x = 391,057,255.54
  5. Step 5: Solve for x
    x = 391,057,255.54/22,607.31
  6. Step 6: Final answer
    x = 17,297.82

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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.