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Finding the Fourth Proportional to 22,658.46, 33,975.14 and 9,327.89

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Solution

The fourth proportional to 22,658.46, 33,975.14 and 9,327.89 is: 13,986.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,658.46 : 33,975.14 = 9,327.89 : x
  2. Step 2: Convert to fraction form
    22,658.46/33,975.14 = 9,327.89/x
  3. Step 3: Cross multiply
    22,658.46x = 33,975.14 × 9,327.89
  4. Step 4: Simplify right side
    22,658.46x = 316,916,152.14
  5. Step 5: Solve for x
    x = 316,916,152.14/22,658.46
  6. Step 6: Final answer
    x = 13,986.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.