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Finding the Fourth Proportional to 21,892.60, 32,817.30 and 8,727.40

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Solution

The fourth proportional to 21,892.60, 32,817.30 and 8,727.40 is: 13,082.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,892.60 : 32,817.30 = 8,727.40 : x
  2. Step 2: Convert to fraction form
    21,892.60/32,817.30 = 8,727.40/x
  3. Step 3: Cross multiply
    21,892.60x = 32,817.30 × 8,727.40
  4. Step 4: Simplify right side
    21,892.60x = 286,409,704.02
  5. Step 5: Solve for x
    x = 286,409,704.02/21,892.60
  6. Step 6: Final answer
    x = 13,082.49

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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.