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Finding the Fourth Proportional to 29,782.56, 41,099.99 and 17,207.32

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Solution

The fourth proportional to 29,782.56, 41,099.99 and 17,207.32 is: 23,746.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,782.56 : 41,099.99 = 17,207.32 : x
  2. Step 2: Convert to fraction form
    29,782.56/41,099.99 = 17,207.32/x
  3. Step 3: Cross multiply
    29,782.56x = 41,099.99 × 17,207.32
  4. Step 4: Simplify right side
    29,782.56x = 707,220,679.93
  5. Step 5: Solve for x
    x = 707,220,679.93/29,782.56
  6. Step 6: Final answer
    x = 23,746.13

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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.