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Finding the Fourth Proportional to 22,405.38, 30,916 and 12,972.12

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Solution

The fourth proportional to 22,405.38, 30,916 and 12,972.12 is: 17,899.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,405.38 : 30,916 = 12,972.12 : x
  2. Step 2: Convert to fraction form
    22,405.38/30,916 = 12,972.12/x
  3. Step 3: Cross multiply
    22,405.38x = 30,916 × 12,972.12
  4. Step 4: Simplify right side
    22,405.38x = 401,046,061.92
  5. Step 5: Solve for x
    x = 401,046,061.92/22,405.38
  6. Step 6: Final answer
    x = 17,899.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.