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Finding the Fourth Proportional to 22,774.32, 34,165.12 and 9,626.80

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Solution

The fourth proportional to 22,774.32, 34,165.12 and 9,626.80 is: 14,441.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,774.32 : 34,165.12 = 9,626.80 : x
  2. Step 2: Convert to fraction form
    22,774.32/34,165.12 = 9,626.80/x
  3. Step 3: Cross multiply
    22,774.32x = 34,165.12 × 9,626.80
  4. Step 4: Simplify right side
    22,774.32x = 328,900,777.22
  5. Step 5: Solve for x
    x = 328,900,777.22/22,774.32
  6. Step 6: Final answer
    x = 14,441.74

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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.