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Finding the Fourth Proportional to 27,730.68, 41,600.12 and 10,199.12

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Solution

The fourth proportional to 27,730.68, 41,600.12 and 10,199.12 is: 15,300.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,730.68 : 41,600.12 = 10,199.12 : x
  2. Step 2: Convert to fraction form
    27,730.68/41,600.12 = 10,199.12/x
  3. Step 3: Cross multiply
    27,730.68x = 41,600.12 × 10,199.12
  4. Step 4: Simplify right side
    27,730.68x = 424,284,615.89
  5. Step 5: Solve for x
    x = 424,284,615.89/27,730.68
  6. Step 6: Final answer
    x = 15,300.19

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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.