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Finding the Fourth Proportional to 38,434.14, 57,643.92 and 16,263

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Solution

The fourth proportional to 38,434.14, 57,643.92 and 16,263 is: 24,391.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,434.14 : 57,643.92 = 16,263 : x
  2. Step 2: Convert to fraction form
    38,434.14/57,643.92 = 16,263/x
  3. Step 3: Cross multiply
    38,434.14x = 57,643.92 × 16,263
  4. Step 4: Simplify right side
    38,434.14x = 937,463,070.96
  5. Step 5: Solve for x
    x = 937,463,070.96/38,434.14
  6. Step 6: Final answer
    x = 24,391.42

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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.