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Finding the Fourth Proportional to 12,222.36, 18,332.93 and 6,686.52

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Solution

The fourth proportional to 12,222.36, 18,332.93 and 6,686.52 is: 10,029.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,222.36 : 18,332.93 = 6,686.52 : x
  2. Step 2: Convert to fraction form
    12,222.36/18,332.93 = 6,686.52/x
  3. Step 3: Cross multiply
    12,222.36x = 18,332.93 × 6,686.52
  4. Step 4: Simplify right side
    12,222.36x = 122,583,451.07
  5. Step 5: Solve for x
    x = 122,583,451.07/12,222.36
  6. Step 6: Final answer
    x = 10,029.44

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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.