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Finding the Fourth Proportional to 22,774.32, 34,165.08 and 9,626.76

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Solution

The fourth proportional to 22,774.32, 34,165.08 and 9,626.76 is: 14,441.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,774.32 : 34,165.08 = 9,626.76 : x
  2. Step 2: Convert to fraction form
    22,774.32/34,165.08 = 9,626.76/x
  3. Step 3: Cross multiply
    22,774.32x = 34,165.08 × 9,626.76
  4. Step 4: Simplify right side
    22,774.32x = 328,899,025.54
  5. Step 5: Solve for x
    x = 328,899,025.54/22,774.32
  6. Step 6: Final answer
    x = 14,441.66

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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.