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Finding the Fourth Proportional to 27,781.64, 38,333.04 and 16,445.48

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Solution

The fourth proportional to 27,781.64, 38,333.04 and 16,445.48 is: 22,691.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,781.64 : 38,333.04 = 16,445.48 : x
  2. Step 2: Convert to fraction form
    27,781.64/38,333.04 = 16,445.48/x
  3. Step 3: Cross multiply
    27,781.64x = 38,333.04 × 16,445.48
  4. Step 4: Simplify right side
    27,781.64x = 630,405,242.66
  5. Step 5: Solve for x
    x = 630,405,242.66/27,781.64
  6. Step 6: Final answer
    x = 22,691.43

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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.