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Finding the Fourth Proportional to 39,589.08, 59,383.62 and 16,206

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Solution

The fourth proportional to 39,589.08, 59,383.62 and 16,206 is: 24,309

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,589.08 : 59,383.62 = 16,206 : x
  2. Step 2: Convert to fraction form
    39,589.08/59,383.62 = 16,206/x
  3. Step 3: Cross multiply
    39,589.08x = 59,383.62 × 16,206
  4. Step 4: Simplify right side
    39,589.08x = 962,370,945.72
  5. Step 5: Solve for x
    x = 962,370,945.72/39,589.08
  6. Step 6: Final answer
    x = 24,309

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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.