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Finding the Fourth Proportional to 25,709.10, 38,566.49 and 8,174.84

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Solution

The fourth proportional to 25,709.10, 38,566.49 and 8,174.84 is: 12,263.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,709.10 : 38,566.49 = 8,174.84 : x
  2. Step 2: Convert to fraction form
    25,709.10/38,566.49 = 8,174.84/x
  3. Step 3: Cross multiply
    25,709.10x = 38,566.49 × 8,174.84
  4. Step 4: Simplify right side
    25,709.10x = 315,274,651.40
  5. Step 5: Solve for x
    x = 315,274,651.40/25,709.10
  6. Step 6: Final answer
    x = 12,263.15

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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.