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Finding the Fourth Proportional to 29,777.63, 41,098.19 and 17,209.67

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Solution

The fourth proportional to 29,777.63, 41,098.19 and 17,209.67 is: 23,752.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,777.63 : 41,098.19 = 17,209.67 : x
  2. Step 2: Convert to fraction form
    29,777.63/41,098.19 = 17,209.67/x
  3. Step 3: Cross multiply
    29,777.63x = 41,098.19 × 17,209.67
  4. Step 4: Simplify right side
    29,777.63x = 707,285,995.96
  5. Step 5: Solve for x
    x = 707,285,995.96/29,777.63
  6. Step 6: Final answer
    x = 23,752.26

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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.