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Finding the Fourth Proportional to 38,132.44, 57,198.48 and 9,669.40

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Solution

The fourth proportional to 38,132.44, 57,198.48 and 9,669.40 is: 14,504.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,132.44 : 57,198.48 = 9,669.40 : x
  2. Step 2: Convert to fraction form
    38,132.44/57,198.48 = 9,669.40/x
  3. Step 3: Cross multiply
    38,132.44x = 57,198.48 × 9,669.40
  4. Step 4: Simplify right side
    38,132.44x = 553,074,982.51
  5. Step 5: Solve for x
    x = 553,074,982.51/38,132.44
  6. Step 6: Final answer
    x = 14,504.05

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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.