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Finding the Fourth Proportional to 19,342.44, 28,974.78 and 10,089

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Solution

The fourth proportional to 19,342.44, 28,974.78 and 10,089 is: 15,113.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,342.44 : 28,974.78 = 10,089 : x
  2. Step 2: Convert to fraction form
    19,342.44/28,974.78 = 10,089/x
  3. Step 3: Cross multiply
    19,342.44x = 28,974.78 × 10,089
  4. Step 4: Simplify right side
    19,342.44x = 292,326,555.42
  5. Step 5: Solve for x
    x = 292,326,555.42/19,342.44
  6. Step 6: Final answer
    x = 15,113.22

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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.