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Finding the Fourth Proportional to 21,029.74, 31,544.61 and 7,178.86

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Solution

The fourth proportional to 21,029.74, 31,544.61 and 7,178.86 is: 10,768.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,029.74 : 31,544.61 = 7,178.86 : x
  2. Step 2: Convert to fraction form
    21,029.74/31,544.61 = 7,178.86/x
  3. Step 3: Cross multiply
    21,029.74x = 31,544.61 × 7,178.86
  4. Step 4: Simplify right side
    21,029.74x = 226,454,338.94
  5. Step 5: Solve for x
    x = 226,454,338.94/21,029.74
  6. Step 6: Final answer
    x = 10,768.29

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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.