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Finding the Fourth Proportional to 12,209.94, 18,311.47 and 4,711.77

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Solution

The fourth proportional to 12,209.94, 18,311.47 and 4,711.77 is: 7,066.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,209.94 : 18,311.47 = 4,711.77 : x
  2. Step 2: Convert to fraction form
    12,209.94/18,311.47 = 4,711.77/x
  3. Step 3: Cross multiply
    12,209.94x = 18,311.47 × 4,711.77
  4. Step 4: Simplify right side
    12,209.94x = 86,279,423.22
  5. Step 5: Solve for x
    x = 86,279,423.22/12,209.94
  6. Step 6: Final answer
    x = 7,066.33

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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.