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Finding the Fourth Proportional to 23,133.97, 31,924.87 and 12,523.59

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Solution

The fourth proportional to 23,133.97, 31,924.87 and 12,523.59 is: 17,282.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,133.97 : 31,924.87 = 12,523.59 : x
  2. Step 2: Convert to fraction form
    23,133.97/31,924.87 = 12,523.59/x
  3. Step 3: Cross multiply
    23,133.97x = 31,924.87 × 12,523.59
  4. Step 4: Simplify right side
    23,133.97x = 399,813,920.07
  5. Step 5: Solve for x
    x = 399,813,920.07/23,133.97
  6. Step 6: Final answer
    x = 17,282.55

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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.