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Finding the Fourth Proportional to 21,638.36, 32,459.18 and 5,843.16

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Solution

The fourth proportional to 21,638.36, 32,459.18 and 5,843.16 is: 8,765.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,638.36 : 32,459.18 = 5,843.16 : x
  2. Step 2: Convert to fraction form
    21,638.36/32,459.18 = 5,843.16/x
  3. Step 3: Cross multiply
    21,638.36x = 32,459.18 × 5,843.16
  4. Step 4: Simplify right side
    21,638.36x = 189,663,990.70
  5. Step 5: Solve for x
    x = 189,663,990.70/21,638.36
  6. Step 6: Final answer
    x = 8,765.18

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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.