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Finding the Fourth Proportional to 19,758.22, 29,621.92 and 13,416.38

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Solution

The fourth proportional to 19,758.22, 29,621.92 and 13,416.38 is: 20,114.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,758.22 : 29,621.92 = 13,416.38 : x
  2. Step 2: Convert to fraction form
    19,758.22/29,621.92 = 13,416.38/x
  3. Step 3: Cross multiply
    19,758.22x = 29,621.92 × 13,416.38
  4. Step 4: Simplify right side
    19,758.22x = 397,418,935.05
  5. Step 5: Solve for x
    x = 397,418,935.05/19,758.22
  6. Step 6: Final answer
    x = 20,114.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.