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Finding the Fourth Proportional to 27,108.84, 40,655.44 and 9,338.78

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Solution

The fourth proportional to 27,108.84, 40,655.44 and 9,338.78 is: 14,005.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,108.84 : 40,655.44 = 9,338.78 : x
  2. Step 2: Convert to fraction form
    27,108.84/40,655.44 = 9,338.78/x
  3. Step 3: Cross multiply
    27,108.84x = 40,655.44 × 9,338.78
  4. Step 4: Simplify right side
    27,108.84x = 379,672,209.96
  5. Step 5: Solve for x
    x = 379,672,209.96/27,108.84
  6. Step 6: Final answer
    x = 14,005.48

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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.