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Finding the Fourth Proportional to 18,204.66, 27,289.98 and 8,334

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Solution

The fourth proportional to 18,204.66, 27,289.98 and 8,334 is: 12,493.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,204.66 : 27,289.98 = 8,334 : x
  2. Step 2: Convert to fraction form
    18,204.66/27,289.98 = 8,334/x
  3. Step 3: Cross multiply
    18,204.66x = 27,289.98 × 8,334
  4. Step 4: Simplify right side
    18,204.66x = 227,434,693.32
  5. Step 5: Solve for x
    x = 227,434,693.32/18,204.66
  6. Step 6: Final answer
    x = 12,493.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.