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Finding the Fourth Proportional to 19,760.95, 29,641.38 and 9,227.44

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Solution

The fourth proportional to 19,760.95, 29,641.38 and 9,227.44 is: 13,841.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,760.95 : 29,641.38 = 9,227.44 : x
  2. Step 2: Convert to fraction form
    19,760.95/29,641.38 = 9,227.44/x
  3. Step 3: Cross multiply
    19,760.95x = 29,641.38 × 9,227.44
  4. Step 4: Simplify right side
    19,760.95x = 273,514,055.47
  5. Step 5: Solve for x
    x = 273,514,055.47/19,760.95
  6. Step 6: Final answer
    x = 13,841.14

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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.