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Finding the Fourth Proportional to 13,598.85, 18,761.91 and 8,222.93

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Solution

The fourth proportional to 13,598.85, 18,761.91 and 8,222.93 is: 11,344.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,598.85 : 18,761.91 = 8,222.93 : x
  2. Step 2: Convert to fraction form
    13,598.85/18,761.91 = 8,222.93/x
  3. Step 3: Cross multiply
    13,598.85x = 18,761.91 × 8,222.93
  4. Step 4: Simplify right side
    13,598.85x = 154,277,919.50
  5. Step 5: Solve for x
    x = 154,277,919.50/13,598.85
  6. Step 6: Final answer
    x = 11,344.92

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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.