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Finding the Fourth Proportional to 16,544.76, 22,824.18 and 9,826.62

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Solution

The fourth proportional to 16,544.76, 22,824.18 and 9,826.62 is: 13,556.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,544.76 : 22,824.18 = 9,826.62 : x
  2. Step 2: Convert to fraction form
    16,544.76/22,824.18 = 9,826.62/x
  3. Step 3: Cross multiply
    16,544.76x = 22,824.18 × 9,826.62
  4. Step 4: Simplify right side
    16,544.76x = 224,284,543.67
  5. Step 5: Solve for x
    x = 224,284,543.67/16,544.76
  6. Step 6: Final answer
    x = 13,556.23

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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.