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Finding the Fourth Proportional to 21,460.52, 32,194.82 and 8,638.67

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Solution

The fourth proportional to 21,460.52, 32,194.82 and 8,638.67 is: 12,959.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,460.52 : 32,194.82 = 8,638.67 : x
  2. Step 2: Convert to fraction form
    21,460.52/32,194.82 = 8,638.67/x
  3. Step 3: Cross multiply
    21,460.52x = 32,194.82 × 8,638.67
  4. Step 4: Simplify right side
    21,460.52x = 278,120,298.08
  5. Step 5: Solve for x
    x = 278,120,298.08/21,460.52
  6. Step 6: Final answer
    x = 12,959.62

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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.