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Finding the Fourth Proportional to 22,774.14, 34,164.83 and 9,626.63

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Solution

The fourth proportional to 22,774.14, 34,164.83 and 9,626.63 is: 14,441.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,774.14 : 34,164.83 = 9,626.63 : x
  2. Step 2: Convert to fraction form
    22,774.14/34,164.83 = 9,626.63/x
  3. Step 3: Cross multiply
    22,774.14x = 34,164.83 × 9,626.63
  4. Step 4: Simplify right side
    22,774.14x = 328,892,030.67
  5. Step 5: Solve for x
    x = 328,892,030.67/22,774.14
  6. Step 6: Final answer
    x = 14,441.47

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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.