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Finding the Fourth Proportional to 22,727.92, 31,364.56 and 12,658.30

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Solution

The fourth proportional to 22,727.92, 31,364.56 and 12,658.30 is: 17,468.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,727.92 : 31,364.56 = 12,658.30 : x
  2. Step 2: Convert to fraction form
    22,727.92/31,364.56 = 12,658.30/x
  3. Step 3: Cross multiply
    22,727.92x = 31,364.56 × 12,658.30
  4. Step 4: Simplify right side
    22,727.92x = 397,022,009.85
  5. Step 5: Solve for x
    x = 397,022,009.85/22,727.92
  6. Step 6: Final answer
    x = 17,468.47

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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.