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Finding the Fourth Proportional to 27,402.92, 37,816 and 14,827.64

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Solution

The fourth proportional to 27,402.92, 37,816 and 14,827.64 is: 20,462.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,402.92 : 37,816 = 14,827.64 : x
  2. Step 2: Convert to fraction form
    27,402.92/37,816 = 14,827.64/x
  3. Step 3: Cross multiply
    27,402.92x = 37,816 × 14,827.64
  4. Step 4: Simplify right side
    27,402.92x = 560,722,034.24
  5. Step 5: Solve for x
    x = 560,722,034.24/27,402.92
  6. Step 6: Final answer
    x = 20,462.13

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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.