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Finding the Fourth Proportional to 23,174.10, 34,763.84 and 8,389.98

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Solution

The fourth proportional to 23,174.10, 34,763.84 and 8,389.98 is: 12,585.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,174.10 : 34,763.84 = 8,389.98 : x
  2. Step 2: Convert to fraction form
    23,174.10/34,763.84 = 8,389.98/x
  3. Step 3: Cross multiply
    23,174.10x = 34,763.84 × 8,389.98
  4. Step 4: Simplify right side
    23,174.10x = 291,667,922.32
  5. Step 5: Solve for x
    x = 291,667,922.32/23,174.10
  6. Step 6: Final answer
    x = 12,585.94

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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.