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Finding the Fourth Proportional to 38,322.24, 57,464.04 and 11,663.12

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Solution

The fourth proportional to 38,322.24, 57,464.04 and 11,663.12 is: 17,488.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,322.24 : 57,464.04 = 11,663.12 : x
  2. Step 2: Convert to fraction form
    38,322.24/57,464.04 = 11,663.12/x
  3. Step 3: Cross multiply
    38,322.24x = 57,464.04 × 11,663.12
  4. Step 4: Simplify right side
    38,322.24x = 670,209,648.57
  5. Step 5: Solve for x
    x = 670,209,648.57/38,322.24
  6. Step 6: Final answer
    x = 17,488.79

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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.