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Finding the Fourth Proportional to 13,000.14, 17,939.77 and 8,222.69

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Solution

The fourth proportional to 13,000.14, 17,939.77 and 8,222.69 is: 11,347.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.14 : 17,939.77 = 8,222.69 : x
  2. Step 2: Convert to fraction form
    13,000.14/17,939.77 = 8,222.69/x
  3. Step 3: Cross multiply
    13,000.14x = 17,939.77 × 8,222.69
  4. Step 4: Simplify right side
    13,000.14x = 147,513,191.67
  5. Step 5: Solve for x
    x = 147,513,191.67/13,000.14
  6. Step 6: Final answer
    x = 11,347.05

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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.