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Finding the Fourth Proportional to 16,226.55, 22,392.74 and 9,057.15

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Solution

The fourth proportional to 16,226.55, 22,392.74 and 9,057.15 is: 12,498.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,226.55 : 22,392.74 = 9,057.15 : x
  2. Step 2: Convert to fraction form
    16,226.55/22,392.74 = 9,057.15/x
  3. Step 3: Cross multiply
    16,226.55x = 22,392.74 × 9,057.15
  4. Step 4: Simplify right side
    16,226.55x = 202,814,359.81
  5. Step 5: Solve for x
    x = 202,814,359.81/16,226.55
  6. Step 6: Final answer
    x = 12,498.92

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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.