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Finding the Fourth Proportional to 22,947.35, 34,380.29 and 9,590.91

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Solution

The fourth proportional to 22,947.35, 34,380.29 and 9,590.91 is: 14,369.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,947.35 : 34,380.29 = 9,590.91 : x
  2. Step 2: Convert to fraction form
    22,947.35/34,380.29 = 9,590.91/x
  3. Step 3: Cross multiply
    22,947.35x = 34,380.29 × 9,590.91
  4. Step 4: Simplify right side
    22,947.35x = 329,738,185.82
  5. Step 5: Solve for x
    x = 329,738,185.82/22,947.35
  6. Step 6: Final answer
    x = 14,369.33

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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.