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Finding the Fourth Proportional to 22,727.94, 31,358.22 and 14,658.18

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Solution

The fourth proportional to 22,727.94, 31,358.22 and 14,658.18 is: 20,224.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,727.94 : 31,358.22 = 14,658.18 : x
  2. Step 2: Convert to fraction form
    22,727.94/31,358.22 = 14,658.18/x
  3. Step 3: Cross multiply
    22,727.94x = 31,358.22 × 14,658.18
  4. Step 4: Simplify right side
    22,727.94x = 459,654,433.24
  5. Step 5: Solve for x
    x = 459,654,433.24/22,727.94
  6. Step 6: Final answer
    x = 20,224.20

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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.