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Finding the Fourth Proportional to 12,122.03, 16,729.67 and 7,409.45

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Solution

The fourth proportional to 12,122.03, 16,729.67 and 7,409.45 is: 10,225.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,122.03 : 16,729.67 = 7,409.45 : x
  2. Step 2: Convert to fraction form
    12,122.03/16,729.67 = 7,409.45/x
  3. Step 3: Cross multiply
    12,122.03x = 16,729.67 × 7,409.45
  4. Step 4: Simplify right side
    12,122.03x = 123,957,653.38
  5. Step 5: Solve for x
    x = 123,957,653.38/12,122.03
  6. Step 6: Final answer
    x = 10,225.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.