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Finding the Fourth Proportional to 38,325.78, 57,497.31 and 11,674.14

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Solution

The fourth proportional to 38,325.78, 57,497.31 and 11,674.14 is: 17,513.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,325.78 : 57,497.31 = 11,674.14 : x
  2. Step 2: Convert to fraction form
    38,325.78/57,497.31 = 11,674.14/x
  3. Step 3: Cross multiply
    38,325.78x = 57,497.31 × 11,674.14
  4. Step 4: Simplify right side
    38,325.78x = 671,231,646.56
  5. Step 5: Solve for x
    x = 671,231,646.56/38,325.78
  6. Step 6: Final answer
    x = 17,513.84

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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.