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Finding the Fourth Proportional to 38,571.40, 57,857.10 and 10,869.40

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Solution

The fourth proportional to 38,571.40, 57,857.10 and 10,869.40 is: 16,304.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,571.40 : 57,857.10 = 10,869.40 : x
  2. Step 2: Convert to fraction form
    38,571.40/57,857.10 = 10,869.40/x
  3. Step 3: Cross multiply
    38,571.40x = 57,857.10 × 10,869.40
  4. Step 4: Simplify right side
    38,571.40x = 628,871,962.74
  5. Step 5: Solve for x
    x = 628,871,962.74/38,571.40
  6. Step 6: Final answer
    x = 16,304.10

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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.