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Finding the Fourth Proportional to 38,130.40, 57,206.40 and 11,837.80

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Solution

The fourth proportional to 38,130.40, 57,206.40 and 11,837.80 is: 17,760.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,130.40 : 57,206.40 = 11,837.80 : x
  2. Step 2: Convert to fraction form
    38,130.40/57,206.40 = 11,837.80/x
  3. Step 3: Cross multiply
    38,130.40x = 57,206.40 × 11,837.80
  4. Step 4: Simplify right side
    38,130.40x = 677,197,921.92
  5. Step 5: Solve for x
    x = 677,197,921.92/38,130.40
  6. Step 6: Final answer
    x = 17,760.05

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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.