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Finding the Fourth Proportional to 27,447.96, 41,175.76 and 8,726

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Solution

The fourth proportional to 27,447.96, 41,175.76 and 8,726 is: 13,090.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,447.96 : 41,175.76 = 8,726 : x
  2. Step 2: Convert to fraction form
    27,447.96/41,175.76 = 8,726/x
  3. Step 3: Cross multiply
    27,447.96x = 41,175.76 × 8,726
  4. Step 4: Simplify right side
    27,447.96x = 359,299,681.76
  5. Step 5: Solve for x
    x = 359,299,681.76/27,447.96
  6. Step 6: Final answer
    x = 13,090.21

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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.