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Finding the Fourth Proportional to 19,874.34, 27,397.70 and 13,887.43

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Solution

The fourth proportional to 19,874.34, 27,397.70 and 13,887.43 is: 19,144.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,874.34 : 27,397.70 = 13,887.43 : x
  2. Step 2: Convert to fraction form
    19,874.34/27,397.70 = 13,887.43/x
  3. Step 3: Cross multiply
    19,874.34x = 27,397.70 × 13,887.43
  4. Step 4: Simplify right side
    19,874.34x = 380,483,502.98
  5. Step 5: Solve for x
    x = 380,483,502.98/19,874.34
  6. Step 6: Final answer
    x = 19,144.46

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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.