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Finding the Fourth Proportional to 16,120.80, 22,246.74 and 9,047.22

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Solution

The fourth proportional to 16,120.80, 22,246.74 and 9,047.22 is: 12,485.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,120.80 : 22,246.74 = 9,047.22 : x
  2. Step 2: Convert to fraction form
    16,120.80/22,246.74 = 9,047.22/x
  3. Step 3: Cross multiply
    16,120.80x = 22,246.74 × 9,047.22
  4. Step 4: Simplify right side
    16,120.80x = 201,271,151.06
  5. Step 5: Solve for x
    x = 201,271,151.06/16,120.80
  6. Step 6: Final answer
    x = 12,485.18

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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.