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Finding the Fourth Proportional to 12,122.76, 16,729.66 and 7,409.64

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Solution

The fourth proportional to 12,122.76, 16,729.66 and 7,409.64 is: 10,225.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,122.76 : 16,729.66 = 7,409.64 : x
  2. Step 2: Convert to fraction form
    12,122.76/16,729.66 = 7,409.64/x
  3. Step 3: Cross multiply
    12,122.76x = 16,729.66 × 7,409.64
  4. Step 4: Simplify right side
    12,122.76x = 123,960,757.92
  5. Step 5: Solve for x
    x = 123,960,757.92/12,122.76
  6. Step 6: Final answer
    x = 10,225.46

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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.