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Finding the Fourth Proportional to 20,193.51, 30,288.11 and 7,046.13

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Solution

The fourth proportional to 20,193.51, 30,288.11 and 7,046.13 is: 10,568.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,193.51 : 30,288.11 = 7,046.13 : x
  2. Step 2: Convert to fraction form
    20,193.51/30,288.11 = 7,046.13/x
  3. Step 3: Cross multiply
    20,193.51x = 30,288.11 × 7,046.13
  4. Step 4: Simplify right side
    20,193.51x = 213,413,925.28
  5. Step 5: Solve for x
    x = 213,413,925.28/20,193.51
  6. Step 6: Final answer
    x = 10,568.44

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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.