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Finding the Fourth Proportional to 22,606.95, 31,198.84 and 12,535.18

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Solution

The fourth proportional to 22,606.95, 31,198.84 and 12,535.18 is: 17,299.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,606.95 : 31,198.84 = 12,535.18 : x
  2. Step 2: Convert to fraction form
    22,606.95/31,198.84 = 12,535.18/x
  3. Step 3: Cross multiply
    22,606.95x = 31,198.84 × 12,535.18
  4. Step 4: Simplify right side
    22,606.95x = 391,083,106.49
  5. Step 5: Solve for x
    x = 391,083,106.49/22,606.95
  6. Step 6: Final answer
    x = 17,299.24

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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.