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Finding the Fourth Proportional to 21,453.44, 32,180.18 and 12,200

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Solution

The fourth proportional to 21,453.44, 32,180.18 and 12,200 is: 18,300.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,453.44 : 32,180.18 = 12,200 : x
  2. Step 2: Convert to fraction form
    21,453.44/32,180.18 = 12,200/x
  3. Step 3: Cross multiply
    21,453.44x = 32,180.18 × 12,200
  4. Step 4: Simplify right side
    21,453.44x = 392,598,196
  5. Step 5: Solve for x
    x = 392,598,196/21,453.44
  6. Step 6: Final answer
    x = 18,300.01

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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.