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Finding the Fourth Proportional to 16,265.76, 22,446.88 and 8,813.76

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Solution

The fourth proportional to 16,265.76, 22,446.88 and 8,813.76 is: 12,163.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,265.76 : 22,446.88 = 8,813.76 : x
  2. Step 2: Convert to fraction form
    16,265.76/22,446.88 = 8,813.76/x
  3. Step 3: Cross multiply
    16,265.76x = 22,446.88 × 8,813.76
  4. Step 4: Simplify right side
    16,265.76x = 197,841,413.07
  5. Step 5: Solve for x
    x = 197,841,413.07/16,265.76
  6. Step 6: Final answer
    x = 12,163.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.