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Finding the Fourth Proportional to 21,514.78, 29,686.91 and 13,447.48

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Solution

The fourth proportional to 21,514.78, 29,686.91 and 13,447.48 is: 18,555.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,514.78 : 29,686.91 = 13,447.48 : x
  2. Step 2: Convert to fraction form
    21,514.78/29,686.91 = 13,447.48/x
  3. Step 3: Cross multiply
    21,514.78x = 29,686.91 × 13,447.48
  4. Step 4: Simplify right side
    21,514.78x = 399,214,128.49
  5. Step 5: Solve for x
    x = 399,214,128.49/21,514.78
  6. Step 6: Final answer
    x = 18,555.34

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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.