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Finding the Fourth Proportional to 22,782.94, 31,443.49 and 13,351.50

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Solution

The fourth proportional to 22,782.94, 31,443.49 and 13,351.50 is: 18,426.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,782.94 : 31,443.49 = 13,351.50 : x
  2. Step 2: Convert to fraction form
    22,782.94/31,443.49 = 13,351.50/x
  3. Step 3: Cross multiply
    22,782.94x = 31,443.49 × 13,351.50
  4. Step 4: Simplify right side
    22,782.94x = 419,817,773.42
  5. Step 5: Solve for x
    x = 419,817,773.42/22,782.94
  6. Step 6: Final answer
    x = 18,426.85

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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.