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Finding the Fourth Proportional to 26,894.01, 40,343.13 and 8,175.66

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Solution

The fourth proportional to 26,894.01, 40,343.13 and 8,175.66 is: 12,264.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,894.01 : 40,343.13 = 8,175.66 : x
  2. Step 2: Convert to fraction form
    26,894.01/40,343.13 = 8,175.66/x
  3. Step 3: Cross multiply
    26,894.01x = 40,343.13 × 8,175.66
  4. Step 4: Simplify right side
    26,894.01x = 329,831,714.22
  5. Step 5: Solve for x
    x = 329,831,714.22/26,894.01
  6. Step 6: Final answer
    x = 12,264.13

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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.