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Finding the Fourth Proportional to 25,737.10, 38,608.53 and 8,202.94

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Solution

The fourth proportional to 25,737.10, 38,608.53 and 8,202.94 is: 12,305.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,737.10 : 38,608.53 = 8,202.94 : x
  2. Step 2: Convert to fraction form
    25,737.10/38,608.53 = 8,202.94/x
  3. Step 3: Cross multiply
    25,737.10x = 38,608.53 × 8,202.94
  4. Step 4: Simplify right side
    25,737.10x = 316,703,455.08
  5. Step 5: Solve for x
    x = 316,703,455.08/25,737.10
  6. Step 6: Final answer
    x = 12,305.33

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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.