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Finding the Fourth Proportional to 25,174.16, 37,765.74 and 10,375

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Solution

The fourth proportional to 25,174.16, 37,765.74 and 10,375 is: 15,564.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,174.16 : 37,765.74 = 10,375 : x
  2. Step 2: Convert to fraction form
    25,174.16/37,765.74 = 10,375/x
  3. Step 3: Cross multiply
    25,174.16x = 37,765.74 × 10,375
  4. Step 4: Simplify right side
    25,174.16x = 391,819,552.50
  5. Step 5: Solve for x
    x = 391,819,552.50/25,174.16
  6. Step 6: Final answer
    x = 15,564.35

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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.