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Finding the Fourth Proportional to 29,782.01, 41,099.83 and 16,354.14

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Solution

The fourth proportional to 29,782.01, 41,099.83 and 16,354.14 is: 22,569.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,782.01 : 41,099.83 = 16,354.14 : x
  2. Step 2: Convert to fraction form
    29,782.01/41,099.83 = 16,354.14/x
  3. Step 3: Cross multiply
    29,782.01x = 41,099.83 × 16,354.14
  4. Step 4: Simplify right side
    29,782.01x = 672,152,178.79
  5. Step 5: Solve for x
    x = 672,152,178.79/29,782.01
  6. Step 6: Final answer
    x = 22,569.07

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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.