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Finding the Fourth Proportional to 29,714.93, 41,006.49 and 17,781.08

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Solution

The fourth proportional to 29,714.93, 41,006.49 and 17,781.08 is: 24,537.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,714.93 : 41,006.49 = 17,781.08 : x
  2. Step 2: Convert to fraction form
    29,714.93/41,006.49 = 17,781.08/x
  3. Step 3: Cross multiply
    29,714.93x = 41,006.49 × 17,781.08
  4. Step 4: Simplify right side
    29,714.93x = 729,139,679.21
  5. Step 5: Solve for x
    x = 729,139,679.21/29,714.93
  6. Step 6: Final answer
    x = 24,537.82

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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.