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Finding the Fourth Proportional to 21,512.63, 32,264.08 and 8,180.87

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Solution

The fourth proportional to 21,512.63, 32,264.08 and 8,180.87 is: 12,269.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,512.63 : 32,264.08 = 8,180.87 : x
  2. Step 2: Convert to fraction form
    21,512.63/32,264.08 = 8,180.87/x
  3. Step 3: Cross multiply
    21,512.63x = 32,264.08 × 8,180.87
  4. Step 4: Simplify right side
    21,512.63x = 263,948,244.15
  5. Step 5: Solve for x
    x = 263,948,244.15/21,512.63
  6. Step 6: Final answer
    x = 12,269.45

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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.