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Finding the Fourth Proportional to 19,478.27, 29,175.49 and 13,203.86

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Solution

The fourth proportional to 19,478.27, 29,175.49 and 13,203.86 is: 19,777.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,478.27 : 29,175.49 = 13,203.86 : x
  2. Step 2: Convert to fraction form
    19,478.27/29,175.49 = 13,203.86/x
  3. Step 3: Cross multiply
    19,478.27x = 29,175.49 × 13,203.86
  4. Step 4: Simplify right side
    19,478.27x = 385,229,120.13
  5. Step 5: Solve for x
    x = 385,229,120.13/19,478.27
  6. Step 6: Final answer
    x = 19,777.38

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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.