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Finding the Fourth Proportional to 22,962.61, 34,433.50 and 8,171.91

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Solution

The fourth proportional to 22,962.61, 34,433.50 and 8,171.91 is: 12,254.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,962.61 : 34,433.50 = 8,171.91 : x
  2. Step 2: Convert to fraction form
    22,962.61/34,433.50 = 8,171.91/x
  3. Step 3: Cross multiply
    22,962.61x = 34,433.50 × 8,171.91
  4. Step 4: Simplify right side
    22,962.61x = 281,387,462.99
  5. Step 5: Solve for x
    x = 281,387,462.99/22,962.61
  6. Step 6: Final answer
    x = 12,254.16

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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.