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Finding the Fourth Proportional to 22,406.23, 30,931.10 and 12,972.97

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Solution

The fourth proportional to 22,406.23, 30,931.10 and 12,972.97 is: 17,908.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,406.23 : 30,931.10 = 12,972.97 : x
  2. Step 2: Convert to fraction form
    22,406.23/30,931.10 = 12,972.97/x
  3. Step 3: Cross multiply
    22,406.23x = 30,931.10 × 12,972.97
  4. Step 4: Simplify right side
    22,406.23x = 401,268,232.37
  5. Step 5: Solve for x
    x = 401,268,232.37/22,406.23
  6. Step 6: Final answer
    x = 17,908.78

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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.