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Finding the Fourth Proportional to 27,986.48, 38,609.16 and 16,802

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Solution

The fourth proportional to 27,986.48, 38,609.16 and 16,802 is: 23,179.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,986.48 : 38,609.16 = 16,802 : x
  2. Step 2: Convert to fraction form
    27,986.48/38,609.16 = 16,802/x
  3. Step 3: Cross multiply
    27,986.48x = 38,609.16 × 16,802
  4. Step 4: Simplify right side
    27,986.48x = 648,711,106.32
  5. Step 5: Solve for x
    x = 648,711,106.32/27,986.48
  6. Step 6: Final answer
    x = 23,179.45

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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.