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Finding the Fourth Proportional to 22,616.25, 31,214.07 and 13,182.99

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Solution

The fourth proportional to 22,616.25, 31,214.07 and 13,182.99 is: 18,194.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,616.25 : 31,214.07 = 13,182.99 : x
  2. Step 2: Convert to fraction form
    22,616.25/31,214.07 = 13,182.99/x
  3. Step 3: Cross multiply
    22,616.25x = 31,214.07 × 13,182.99
  4. Step 4: Simplify right side
    22,616.25x = 411,494,772.67
  5. Step 5: Solve for x
    x = 411,494,772.67/22,616.25
  6. Step 6: Final answer
    x = 18,194.65

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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.