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Finding the Fourth Proportional to 21,548.10, 32,321.86 and 8,409.70

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Solution

The fourth proportional to 21,548.10, 32,321.86 and 8,409.70 is: 12,614.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,548.10 : 32,321.86 = 8,409.70 : x
  2. Step 2: Convert to fraction form
    21,548.10/32,321.86 = 8,409.70/x
  3. Step 3: Cross multiply
    21,548.10x = 32,321.86 × 8,409.70
  4. Step 4: Simplify right side
    21,548.10x = 271,817,146.04
  5. Step 5: Solve for x
    x = 271,817,146.04/21,548.10
  6. Step 6: Final answer
    x = 12,614.44

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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.