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Finding the Fourth Proportional to 38,557.80, 57,825.36 and 16,371

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Solution

The fourth proportional to 38,557.80, 57,825.36 and 16,371 is: 24,551.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,557.80 : 57,825.36 = 16,371 : x
  2. Step 2: Convert to fraction form
    38,557.80/57,825.36 = 16,371/x
  3. Step 3: Cross multiply
    38,557.80x = 57,825.36 × 16,371
  4. Step 4: Simplify right side
    38,557.80x = 946,658,968.56
  5. Step 5: Solve for x
    x = 946,658,968.56/38,557.80
  6. Step 6: Final answer
    x = 24,551.69

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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.