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Finding the Fourth Proportional to 19,729.74, 29,587.05 and 10,722

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Solution

The fourth proportional to 19,729.74, 29,587.05 and 10,722 is: 16,078.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,729.74 : 29,587.05 = 10,722 : x
  2. Step 2: Convert to fraction form
    19,729.74/29,587.05 = 10,722/x
  3. Step 3: Cross multiply
    19,729.74x = 29,587.05 × 10,722
  4. Step 4: Simplify right side
    19,729.74x = 317,232,350.10
  5. Step 5: Solve for x
    x = 317,232,350.10/19,729.74
  6. Step 6: Final answer
    x = 16,078.89

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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.