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Finding the Fourth Proportional to 38,287.99, 57,438.14 and 13,335.23

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Solution

The fourth proportional to 38,287.99, 57,438.14 and 13,335.23 is: 20,004.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,287.99 : 57,438.14 = 13,335.23 : x
  2. Step 2: Convert to fraction form
    38,287.99/57,438.14 = 13,335.23/x
  3. Step 3: Cross multiply
    38,287.99x = 57,438.14 × 13,335.23
  4. Step 4: Simplify right side
    38,287.99x = 765,950,922.10
  5. Step 5: Solve for x
    x = 765,950,922.10/38,287.99
  6. Step 6: Final answer
    x = 20,004.99

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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.