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Finding the Fourth Proportional to 21,422.24, 32,136.64 and 7,568

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Solution

The fourth proportional to 21,422.24, 32,136.64 and 7,568 is: 11,353.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,422.24 : 32,136.64 = 7,568 : x
  2. Step 2: Convert to fraction form
    21,422.24/32,136.64 = 7,568/x
  3. Step 3: Cross multiply
    21,422.24x = 32,136.64 × 7,568
  4. Step 4: Simplify right side
    21,422.24x = 243,210,091.52
  5. Step 5: Solve for x
    x = 243,210,091.52/21,422.24
  6. Step 6: Final answer
    x = 11,353.16

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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.