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Finding the Fourth Proportional to 16,255.50, 22,433.13 and 9,966.66

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Solution

The fourth proportional to 16,255.50, 22,433.13 and 9,966.66 is: 13,754.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,255.50 : 22,433.13 = 9,966.66 : x
  2. Step 2: Convert to fraction form
    16,255.50/22,433.13 = 9,966.66/x
  3. Step 3: Cross multiply
    16,255.50x = 22,433.13 × 9,966.66
  4. Step 4: Simplify right side
    16,255.50x = 223,583,379.45
  5. Step 5: Solve for x
    x = 223,583,379.45/16,255.50
  6. Step 6: Final answer
    x = 13,754.32

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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.