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Finding the Fourth Proportional to 25,107.75, 37,640.16 and 10,307.43

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Solution

The fourth proportional to 25,107.75, 37,640.16 and 10,307.43 is: 15,452.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,107.75 : 37,640.16 = 10,307.43 : x
  2. Step 2: Convert to fraction form
    25,107.75/37,640.16 = 10,307.43/x
  3. Step 3: Cross multiply
    25,107.75x = 37,640.16 × 10,307.43
  4. Step 4: Simplify right side
    25,107.75x = 387,973,314.39
  5. Step 5: Solve for x
    x = 387,973,314.39/25,107.75
  6. Step 6: Final answer
    x = 15,452.33

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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.