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Finding the Fourth Proportional to 12,381.50, 17,078.91 and 8,133.05

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Solution

The fourth proportional to 12,381.50, 17,078.91 and 8,133.05 is: 11,218.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381.50 : 17,078.91 = 8,133.05 : x
  2. Step 2: Convert to fraction form
    12,381.50/17,078.91 = 8,133.05/x
  3. Step 3: Cross multiply
    12,381.50x = 17,078.91 × 8,133.05
  4. Step 4: Simplify right side
    12,381.50x = 138,903,628.98
  5. Step 5: Solve for x
    x = 138,903,628.98/12,381.50
  6. Step 6: Final answer
    x = 11,218.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.