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Finding the Fourth Proportional to 27,713.64, 38,244.85 and 15,776.96

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Solution

The fourth proportional to 27,713.64, 38,244.85 and 15,776.96 is: 21,772.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,713.64 : 38,244.85 = 15,776.96 : x
  2. Step 2: Convert to fraction form
    27,713.64/38,244.85 = 15,776.96/x
  3. Step 3: Cross multiply
    27,713.64x = 38,244.85 × 15,776.96
  4. Step 4: Simplify right side
    27,713.64x = 603,387,468.66
  5. Step 5: Solve for x
    x = 603,387,468.66/27,713.64
  6. Step 6: Final answer
    x = 21,772.22

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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.