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Finding the Fourth Proportional to 27,984.72, 38,614.83 and 15,883.32

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Solution

The fourth proportional to 27,984.72, 38,614.83 and 15,883.32 is: 21,916.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,984.72 : 38,614.83 = 15,883.32 : x
  2. Step 2: Convert to fraction form
    27,984.72/38,614.83 = 15,883.32/x
  3. Step 3: Cross multiply
    27,984.72x = 38,614.83 × 15,883.32
  4. Step 4: Simplify right side
    27,984.72x = 613,331,701.64
  5. Step 5: Solve for x
    x = 613,331,701.64/27,984.72
  6. Step 6: Final answer
    x = 21,916.66

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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.