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Finding the Fourth Proportional to 21,235.71, 31,867.91 and 8,087.74

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Solution

The fourth proportional to 21,235.71, 31,867.91 and 8,087.74 is: 12,137.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,235.71 : 31,867.91 = 8,087.74 : x
  2. Step 2: Convert to fraction form
    21,235.71/31,867.91 = 8,087.74/x
  3. Step 3: Cross multiply
    21,235.71x = 31,867.91 × 8,087.74
  4. Step 4: Simplify right side
    21,235.71x = 257,739,370.42
  5. Step 5: Solve for x
    x = 257,739,370.42/21,235.71
  6. Step 6: Final answer
    x = 12,137.07

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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.