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Finding the Fourth Proportional to 27,723.50, 38,258.43 and 16,545.50

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Solution

The fourth proportional to 27,723.50, 38,258.43 and 16,545.50 is: 22,832.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,723.50 : 38,258.43 = 16,545.50 : x
  2. Step 2: Convert to fraction form
    27,723.50/38,258.43 = 16,545.50/x
  3. Step 3: Cross multiply
    27,723.50x = 38,258.43 × 16,545.50
  4. Step 4: Simplify right side
    27,723.50x = 633,004,853.57
  5. Step 5: Solve for x
    x = 633,004,853.57/27,723.50
  6. Step 6: Final answer
    x = 22,832.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.