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Finding the Fourth Proportional to 21,660.21, 32,483.70 and 9,180

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Solution

The fourth proportional to 21,660.21, 32,483.70 and 9,180 is: 13,767.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,660.21 : 32,483.70 = 9,180 : x
  2. Step 2: Convert to fraction form
    21,660.21/32,483.70 = 9,180/x
  3. Step 3: Cross multiply
    21,660.21x = 32,483.70 × 9,180
  4. Step 4: Simplify right side
    21,660.21x = 298,200,366
  5. Step 5: Solve for x
    x = 298,200,366/21,660.21
  6. Step 6: Final answer
    x = 13,767.20

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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.