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Finding the Fourth Proportional to 21,640.68, 32,461.02 and 5,224.68

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Solution

The fourth proportional to 21,640.68, 32,461.02 and 5,224.68 is: 7,837.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,640.68 : 32,461.02 = 5,224.68 : x
  2. Step 2: Convert to fraction form
    21,640.68/32,461.02 = 5,224.68/x
  3. Step 3: Cross multiply
    21,640.68x = 32,461.02 × 5,224.68
  4. Step 4: Simplify right side
    21,640.68x = 169,598,441.97
  5. Step 5: Solve for x
    x = 169,598,441.97/21,640.68
  6. Step 6: Final answer
    x = 7,837.02

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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.