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Finding the Fourth Proportional to 38,199.37, 57,266.47 and 14,493.66

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Solution

The fourth proportional to 38,199.37, 57,266.47 and 14,493.66 is: 21,728.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,199.37 : 57,266.47 = 14,493.66 : x
  2. Step 2: Convert to fraction form
    38,199.37/57,266.47 = 14,493.66/x
  3. Step 3: Cross multiply
    38,199.37x = 57,266.47 × 14,493.66
  4. Step 4: Simplify right side
    38,199.37x = 830,000,745.58
  5. Step 5: Solve for x
    x = 830,000,745.58/38,199.37
  6. Step 6: Final answer
    x = 21,728.13

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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.