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Finding the Fourth Proportional to 21,728.52, 32,598.40 and 6,146.16

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Solution

The fourth proportional to 21,728.52, 32,598.40 and 6,146.16 is: 9,220.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,728.52 : 32,598.40 = 6,146.16 : x
  2. Step 2: Convert to fraction form
    21,728.52/32,598.40 = 6,146.16/x
  3. Step 3: Cross multiply
    21,728.52x = 32,598.40 × 6,146.16
  4. Step 4: Simplify right side
    21,728.52x = 200,354,982.14
  5. Step 5: Solve for x
    x = 200,354,982.14/21,728.52
  6. Step 6: Final answer
    x = 9,220.83

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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.