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Finding the Fourth Proportional to 22,967.40, 34,450.98 and 8,176.86

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Solution

The fourth proportional to 22,967.40, 34,450.98 and 8,176.86 is: 12,265.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,967.40 : 34,450.98 = 8,176.86 : x
  2. Step 2: Convert to fraction form
    22,967.40/34,450.98 = 8,176.86/x
  3. Step 3: Cross multiply
    22,967.40x = 34,450.98 × 8,176.86
  4. Step 4: Simplify right side
    22,967.40x = 281,700,840.32
  5. Step 5: Solve for x
    x = 281,700,840.32/22,967.40
  6. Step 6: Final answer
    x = 12,265.25

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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.