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Finding the Fourth Proportional to 27,723.65, 38,258.21 and 16,543.49

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Solution

The fourth proportional to 27,723.65, 38,258.21 and 16,543.49 is: 22,829.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,723.65 : 38,258.21 = 16,543.49 : x
  2. Step 2: Convert to fraction form
    27,723.65/38,258.21 = 16,543.49/x
  3. Step 3: Cross multiply
    27,723.65x = 38,258.21 × 16,543.49
  4. Step 4: Simplify right side
    27,723.65x = 632,924,164.62
  5. Step 5: Solve for x
    x = 632,924,164.62/27,723.65
  6. Step 6: Final answer
    x = 22,829.76

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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.