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Finding the Fourth Proportional to 27,735.68, 41,602.28 and 10,204.24

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Solution

The fourth proportional to 27,735.68, 41,602.28 and 10,204.24 is: 15,305.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,735.68 : 41,602.28 = 10,204.24 : x
  2. Step 2: Convert to fraction form
    27,735.68/41,602.28 = 10,204.24/x
  3. Step 3: Cross multiply
    27,735.68x = 41,602.28 × 10,204.24
  4. Step 4: Simplify right side
    27,735.68x = 424,519,649.67
  5. Step 5: Solve for x
    x = 424,519,649.67/27,735.68
  6. Step 6: Final answer
    x = 15,305.90

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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.