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Finding the Fourth Proportional to 19,775.68, 29,641.92 and 11,982.40

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Solution

The fourth proportional to 19,775.68, 29,641.92 and 11,982.40 is: 17,960.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,775.68 : 29,641.92 = 11,982.40 : x
  2. Step 2: Convert to fraction form
    19,775.68/29,641.92 = 11,982.40/x
  3. Step 3: Cross multiply
    19,775.68x = 29,641.92 × 11,982.40
  4. Step 4: Simplify right side
    19,775.68x = 355,181,342.21
  5. Step 5: Solve for x
    x = 355,181,342.21/19,775.68
  6. Step 6: Final answer
    x = 17,960.51

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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.