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Finding the Fourth Proportional to 16,020.56, 22,108.14 and 8,947.08

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Solution

The fourth proportional to 16,020.56, 22,108.14 and 8,947.08 is: 12,346.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,020.56 : 22,108.14 = 8,947.08 : x
  2. Step 2: Convert to fraction form
    16,020.56/22,108.14 = 8,947.08/x
  3. Step 3: Cross multiply
    16,020.56x = 22,108.14 × 8,947.08
  4. Step 4: Simplify right side
    16,020.56x = 197,803,297.23
  5. Step 5: Solve for x
    x = 197,803,297.23/16,020.56
  6. Step 6: Final answer
    x = 12,346.84

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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.