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Finding the Fourth Proportional to 12,226.77, 18,332.01 and 4,434.57

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Solution

The fourth proportional to 12,226.77, 18,332.01 and 4,434.57 is: 6,648.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,226.77 : 18,332.01 = 4,434.57 : x
  2. Step 2: Convert to fraction form
    12,226.77/18,332.01 = 4,434.57/x
  3. Step 3: Cross multiply
    12,226.77x = 18,332.01 × 4,434.57
  4. Step 4: Simplify right side
    12,226.77x = 81,294,581.59
  5. Step 5: Solve for x
    x = 81,294,581.59/12,226.77
  6. Step 6: Final answer
    x = 6,648.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.