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Finding the Fourth Proportional to 13,222.55, 18,248.56 and 8,446.86

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Solution

The fourth proportional to 13,222.55, 18,248.56 and 8,446.86 is: 11,657.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,222.55 : 18,248.56 = 8,446.86 : x
  2. Step 2: Convert to fraction form
    13,222.55/18,248.56 = 8,446.86/x
  3. Step 3: Cross multiply
    13,222.55x = 18,248.56 × 8,446.86
  4. Step 4: Simplify right side
    13,222.55x = 154,143,010.40
  5. Step 5: Solve for x
    x = 154,143,010.40/13,222.55
  6. Step 6: Final answer
    x = 11,657.58

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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.