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Finding the Fourth Proportional to 26,927.84, 40,397.04 and 9,398.24

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Solution

The fourth proportional to 26,927.84, 40,397.04 and 9,398.24 is: 14,099.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,927.84 : 40,397.04 = 9,398.24 : x
  2. Step 2: Convert to fraction form
    26,927.84/40,397.04 = 9,398.24/x
  3. Step 3: Cross multiply
    26,927.84x = 40,397.04 × 9,398.24
  4. Step 4: Simplify right side
    26,927.84x = 379,661,077.21
  5. Step 5: Solve for x
    x = 379,661,077.21/26,927.84
  6. Step 6: Final answer
    x = 14,099.20

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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.