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Finding the Fourth Proportional to 29,774.25, 41,095.89 and 17,206.29

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Solution

The fourth proportional to 29,774.25, 41,095.89 and 17,206.29 is: 23,748.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,774.25 : 41,095.89 = 17,206.29 : x
  2. Step 2: Convert to fraction form
    29,774.25/41,095.89 = 17,206.29/x
  3. Step 3: Cross multiply
    29,774.25x = 41,095.89 × 17,206.29
  4. Step 4: Simplify right side
    29,774.25x = 707,107,801.15
  5. Step 5: Solve for x
    x = 707,107,801.15/29,774.25
  6. Step 6: Final answer
    x = 23,748.97

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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.