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Finding the Fourth Proportional to 21,034.81, 31,540.38 and 6,987.32

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Solution

The fourth proportional to 21,034.81, 31,540.38 and 6,987.32 is: 10,477.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,034.81 : 31,540.38 = 6,987.32 : x
  2. Step 2: Convert to fraction form
    21,034.81/31,540.38 = 6,987.32/x
  3. Step 3: Cross multiply
    21,034.81x = 31,540.38 × 6,987.32
  4. Step 4: Simplify right side
    21,034.81x = 220,382,727.98
  5. Step 5: Solve for x
    x = 220,382,727.98/21,034.81
  6. Step 6: Final answer
    x = 10,477.05

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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.