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Finding the Fourth Proportional to 21,200.28, 31,774.91 and 8,703.41

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Solution

The fourth proportional to 21,200.28, 31,774.91 and 8,703.41 is: 13,044.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,200.28 : 31,774.91 = 8,703.41 : x
  2. Step 2: Convert to fraction form
    21,200.28/31,774.91 = 8,703.41/x
  3. Step 3: Cross multiply
    21,200.28x = 31,774.91 × 8,703.41
  4. Step 4: Simplify right side
    21,200.28x = 276,549,867.05
  5. Step 5: Solve for x
    x = 276,549,867.05/21,200.28
  6. Step 6: Final answer
    x = 13,044.63

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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.