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Finding the Fourth Proportional to 19,954.80, 29,929.77 and 10,089

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Solution

The fourth proportional to 19,954.80, 29,929.77 and 10,089 is: 15,132.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,954.80 : 29,929.77 = 10,089 : x
  2. Step 2: Convert to fraction form
    19,954.80/29,929.77 = 10,089/x
  3. Step 3: Cross multiply
    19,954.80x = 29,929.77 × 10,089
  4. Step 4: Simplify right side
    19,954.80x = 301,961,449.53
  5. Step 5: Solve for x
    x = 301,961,449.53/19,954.80
  6. Step 6: Final answer
    x = 15,132.27

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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.