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Finding the Fourth Proportional to 38,157.61, 57,238.98 and 13,200.07

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Solution

The fourth proportional to 38,157.61, 57,238.98 and 13,200.07 is: 19,800.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,157.61 : 57,238.98 = 13,200.07 : x
  2. Step 2: Convert to fraction form
    38,157.61/57,238.98 = 13,200.07/x
  3. Step 3: Cross multiply
    38,157.61x = 57,238.98 × 13,200.07
  4. Step 4: Simplify right side
    38,157.61x = 755,558,542.73
  5. Step 5: Solve for x
    x = 755,558,542.73/38,157.61
  6. Step 6: Final answer
    x = 19,800.99

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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.