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Finding the Fourth Proportional to 25,233.78, 37,856.57 and 7,703.60

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Solution

The fourth proportional to 25,233.78, 37,856.57 and 7,703.60 is: 11,557.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,233.78 : 37,856.57 = 7,703.60 : x
  2. Step 2: Convert to fraction form
    25,233.78/37,856.57 = 7,703.60/x
  3. Step 3: Cross multiply
    25,233.78x = 37,856.57 × 7,703.60
  4. Step 4: Simplify right side
    25,233.78x = 291,631,644.85
  5. Step 5: Solve for x
    x = 291,631,644.85/25,233.78
  6. Step 6: Final answer
    x = 11,557.19

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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.