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Finding the Fourth Proportional to 21,186.58, 31,767.41 and 8,039.88

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Solution

The fourth proportional to 21,186.58, 31,767.41 and 8,039.88 is: 12,055.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,186.58 : 31,767.41 = 8,039.88 : x
  2. Step 2: Convert to fraction form
    21,186.58/31,767.41 = 8,039.88/x
  3. Step 3: Cross multiply
    21,186.58x = 31,767.41 × 8,039.88
  4. Step 4: Simplify right side
    21,186.58x = 255,406,164.31
  5. Step 5: Solve for x
    x = 255,406,164.31/21,186.58
  6. Step 6: Final answer
    x = 12,055.09

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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.