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Finding the Fourth Proportional to 13,222.47, 18,250.07 and 8,498.55

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Solution

The fourth proportional to 13,222.47, 18,250.07 and 8,498.55 is: 11,729.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,222.47 : 18,250.07 = 8,498.55 : x
  2. Step 2: Convert to fraction form
    13,222.47/18,250.07 = 8,498.55/x
  3. Step 3: Cross multiply
    13,222.47x = 18,250.07 × 8,498.55
  4. Step 4: Simplify right side
    13,222.47x = 155,099,089.91
  5. Step 5: Solve for x
    x = 155,099,089.91/13,222.47
  6. Step 6: Final answer
    x = 11,729.96

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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.