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Finding the Fourth Proportional to 12,245.24, 16,902.24 and 7,209.07

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Solution

The fourth proportional to 12,245.24, 16,902.24 and 7,209.07 is: 9,950.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,245.24 : 16,902.24 = 7,209.07 : x
  2. Step 2: Convert to fraction form
    12,245.24/16,902.24 = 7,209.07/x
  3. Step 3: Cross multiply
    12,245.24x = 16,902.24 × 7,209.07
  4. Step 4: Simplify right side
    12,245.24x = 121,849,431.32
  5. Step 5: Solve for x
    x = 121,849,431.32/12,245.24
  6. Step 6: Final answer
    x = 9,950.76

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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.