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Finding the Fourth Proportional to 27,684.48, 38,204.67 and 15,748.65

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Solution

The fourth proportional to 27,684.48, 38,204.67 and 15,748.65 is: 21,733.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,684.48 : 38,204.67 = 15,748.65 : x
  2. Step 2: Convert to fraction form
    27,684.48/38,204.67 = 15,748.65/x
  3. Step 3: Cross multiply
    27,684.48x = 38,204.67 × 15,748.65
  4. Step 4: Simplify right side
    27,684.48x = 601,671,976.20
  5. Step 5: Solve for x
    x = 601,671,976.20/27,684.48
  6. Step 6: Final answer
    x = 21,733.19

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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.