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Finding the Fourth Proportional to 23,133.75, 31,924.74 and 12,523.41

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Solution

The fourth proportional to 23,133.75, 31,924.74 and 12,523.41 is: 17,282.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,133.75 : 31,924.74 = 12,523.41 : x
  2. Step 2: Convert to fraction form
    23,133.75/31,924.74 = 12,523.41/x
  3. Step 3: Cross multiply
    23,133.75x = 31,924.74 × 12,523.41
  4. Step 4: Simplify right side
    23,133.75x = 399,806,608.16
  5. Step 5: Solve for x
    x = 399,806,608.16/23,133.75
  6. Step 6: Final answer
    x = 17,282.40

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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.