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Finding the Fourth Proportional to 38,509.56, 57,766.38 and 10,809.72

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Solution

The fourth proportional to 38,509.56, 57,766.38 and 10,809.72 is: 16,215.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,509.56 : 57,766.38 = 10,809.72 : x
  2. Step 2: Convert to fraction form
    38,509.56/57,766.38 = 10,809.72/x
  3. Step 3: Cross multiply
    38,509.56x = 57,766.38 × 10,809.72
  4. Step 4: Simplify right side
    38,509.56x = 624,438,393.21
  5. Step 5: Solve for x
    x = 624,438,393.21/38,509.56
  6. Step 6: Final answer
    x = 16,215.15

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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.