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Finding the Fourth Proportional to 19,773.72, 27,285.35 and 11,814.39

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Solution

The fourth proportional to 19,773.72, 27,285.35 and 11,814.39 is: 16,302.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,773.72 : 27,285.35 = 11,814.39 : x
  2. Step 2: Convert to fraction form
    19,773.72/27,285.35 = 11,814.39/x
  3. Step 3: Cross multiply
    19,773.72x = 27,285.35 × 11,814.39
  4. Step 4: Simplify right side
    19,773.72x = 322,359,707.11
  5. Step 5: Solve for x
    x = 322,359,707.11/19,773.72
  6. Step 6: Final answer
    x = 16,302.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.