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Finding the Fourth Proportional to 22,728.44, 31,358.91 and 14,658.68

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Solution

The fourth proportional to 22,728.44, 31,358.91 and 14,658.68 is: 20,224.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,728.44 : 31,358.91 = 14,658.68 : x
  2. Step 2: Convert to fraction form
    22,728.44/31,358.91 = 14,658.68/x
  3. Step 3: Cross multiply
    22,728.44x = 31,358.91 × 14,658.68
  4. Step 4: Simplify right side
    22,728.44x = 459,680,226.84
  5. Step 5: Solve for x
    x = 459,680,226.84/22,728.44
  6. Step 6: Final answer
    x = 20,224.89

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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.