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Finding the Fourth Proportional to 25,318.24, 37,981.44 and 7,788.05

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Solution

The fourth proportional to 25,318.24, 37,981.44 and 7,788.05 is: 11,683.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,318.24 : 37,981.44 = 7,788.05 : x
  2. Step 2: Convert to fraction form
    25,318.24/37,981.44 = 7,788.05/x
  3. Step 3: Cross multiply
    25,318.24x = 37,981.44 × 7,788.05
  4. Step 4: Simplify right side
    25,318.24x = 295,801,306.32
  5. Step 5: Solve for x
    x = 295,801,306.32/25,318.24
  6. Step 6: Final answer
    x = 11,683.33

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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.