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Finding the Fourth Proportional to 22,727.67, 31,364.21 and 12,658.05

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Solution

The fourth proportional to 22,727.67, 31,364.21 and 12,658.05 is: 17,468.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,727.67 : 31,364.21 = 12,658.05 : x
  2. Step 2: Convert to fraction form
    22,727.67/31,364.21 = 12,658.05/x
  3. Step 3: Cross multiply
    22,727.67x = 31,364.21 × 12,658.05
  4. Step 4: Simplify right side
    22,727.67x = 397,009,738.39
  5. Step 5: Solve for x
    x = 397,009,738.39/22,727.67
  6. Step 6: Final answer
    x = 17,468.12

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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.