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Finding the Fourth Proportional to 16,219.51, 22,382.89 and 9,145.88

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Solution

The fourth proportional to 16,219.51, 22,382.89 and 9,145.88 is: 12,621.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,219.51 : 22,382.89 = 9,145.88 : x
  2. Step 2: Convert to fraction form
    16,219.51/22,382.89 = 9,145.88/x
  3. Step 3: Cross multiply
    16,219.51x = 22,382.89 × 9,145.88
  4. Step 4: Simplify right side
    16,219.51x = 204,711,335.35
  5. Step 5: Solve for x
    x = 204,711,335.35/16,219.51
  6. Step 6: Final answer
    x = 12,621.30

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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.