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Finding the Fourth Proportional to 21,817.92, 32,741.52 and 8,673.12

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Solution

The fourth proportional to 21,817.92, 32,741.52 and 8,673.12 is: 13,015.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,817.92 : 32,741.52 = 8,673.12 : x
  2. Step 2: Convert to fraction form
    21,817.92/32,741.52 = 8,673.12/x
  3. Step 3: Cross multiply
    21,817.92x = 32,741.52 × 8,673.12
  4. Step 4: Simplify right side
    21,817.92x = 283,971,131.94
  5. Step 5: Solve for x
    x = 283,971,131.94/21,817.92
  6. Step 6: Final answer
    x = 13,015.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.