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Finding the Fourth Proportional to 22,764.52, 31,415.07 and 13,206.23

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Solution

The fourth proportional to 22,764.52, 31,415.07 and 13,206.23 is: 18,224.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,764.52 : 31,415.07 = 13,206.23 : x
  2. Step 2: Convert to fraction form
    22,764.52/31,415.07 = 13,206.23/x
  3. Step 3: Cross multiply
    22,764.52x = 31,415.07 × 13,206.23
  4. Step 4: Simplify right side
    22,764.52x = 414,874,639.89
  5. Step 5: Solve for x
    x = 414,874,639.89/22,764.52
  6. Step 6: Final answer
    x = 18,224.62

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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.