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Finding the Fourth Proportional to 21,186.54, 31,780.03 and 6,395.58

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Solution

The fourth proportional to 21,186.54, 31,780.03 and 6,395.58 is: 9,593.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,186.54 : 31,780.03 = 6,395.58 : x
  2. Step 2: Convert to fraction form
    21,186.54/31,780.03 = 6,395.58/x
  3. Step 3: Cross multiply
    21,186.54x = 31,780.03 × 6,395.58
  4. Step 4: Simplify right side
    21,186.54x = 203,251,724.27
  5. Step 5: Solve for x
    x = 203,251,724.27/21,186.54
  6. Step 6: Final answer
    x = 9,593.44

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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.