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Finding the Fourth Proportional to 27,522.68, 41,284.14 and 6,746.18

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Solution

The fourth proportional to 27,522.68, 41,284.14 and 6,746.18 is: 10,119.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,522.68 : 41,284.14 = 6,746.18 : x
  2. Step 2: Convert to fraction form
    27,522.68/41,284.14 = 6,746.18/x
  3. Step 3: Cross multiply
    27,522.68x = 41,284.14 × 6,746.18
  4. Step 4: Simplify right side
    27,522.68x = 278,510,239.59
  5. Step 5: Solve for x
    x = 278,510,239.59/27,522.68
  6. Step 6: Final answer
    x = 10,119.30

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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.