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Finding the Fourth Proportional to 38,568.81, 57,857.46 and 12,267.40

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Solution

The fourth proportional to 38,568.81, 57,857.46 and 12,267.40 is: 18,402.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,568.81 : 57,857.46 = 12,267.40 : x
  2. Step 2: Convert to fraction form
    38,568.81/57,857.46 = 12,267.40/x
  3. Step 3: Cross multiply
    38,568.81x = 57,857.46 × 12,267.40
  4. Step 4: Simplify right side
    38,568.81x = 709,760,506.16
  5. Step 5: Solve for x
    x = 709,760,506.16/38,568.81
  6. Step 6: Final answer
    x = 18,402.45

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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.