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Finding the Fourth Proportional to 25,186.33, 37,774.63 and 9,600.31

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Solution

The fourth proportional to 25,186.33, 37,774.63 and 9,600.31 is: 14,398.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,186.33 : 37,774.63 = 9,600.31 : x
  2. Step 2: Convert to fraction form
    25,186.33/37,774.63 = 9,600.31/x
  3. Step 3: Cross multiply
    25,186.33x = 37,774.63 × 9,600.31
  4. Step 4: Simplify right side
    25,186.33x = 362,648,158.14
  5. Step 5: Solve for x
    x = 362,648,158.14/25,186.33
  6. Step 6: Final answer
    x = 14,398.61

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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.