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Finding the Fourth Proportional to 22,974.64, 31,704.89 and 12,903.23

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Solution

The fourth proportional to 22,974.64, 31,704.89 and 12,903.23 is: 17,806.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,974.64 : 31,704.89 = 12,903.23 : x
  2. Step 2: Convert to fraction form
    22,974.64/31,704.89 = 12,903.23/x
  3. Step 3: Cross multiply
    22,974.64x = 31,704.89 × 12,903.23
  4. Step 4: Simplify right side
    22,974.64x = 409,095,502.54
  5. Step 5: Solve for x
    x = 409,095,502.54/22,974.64
  6. Step 6: Final answer
    x = 17,806.40

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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.