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Finding the Fourth Proportional to 12,226.90, 16,864.81 and 7,443.55

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Solution

The fourth proportional to 12,226.90, 16,864.81 and 7,443.55 is: 10,267.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,226.90 : 16,864.81 = 7,443.55 : x
  2. Step 2: Convert to fraction form
    12,226.90/16,864.81 = 7,443.55/x
  3. Step 3: Cross multiply
    12,226.90x = 16,864.81 × 7,443.55
  4. Step 4: Simplify right side
    12,226.90x = 125,533,964.08
  5. Step 5: Solve for x
    x = 125,533,964.08/12,226.90
  6. Step 6: Final answer
    x = 10,267.03

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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.