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Finding the Fourth Proportional to 25,285.14, 37,902.25 and 8,633.87

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Solution

The fourth proportional to 25,285.14, 37,902.25 and 8,633.87 is: 12,942.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,285.14 : 37,902.25 = 8,633.87 : x
  2. Step 2: Convert to fraction form
    25,285.14/37,902.25 = 8,633.87/x
  3. Step 3: Cross multiply
    25,285.14x = 37,902.25 × 8,633.87
  4. Step 4: Simplify right side
    25,285.14x = 327,242,925.67
  5. Step 5: Solve for x
    x = 327,242,925.67/25,285.14
  6. Step 6: Final answer
    x = 12,942.11

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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.