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Finding the Fourth Proportional to 13,034.50, 19,503.30 and 7,772.37

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Solution

The fourth proportional to 13,034.50, 19,503.30 and 7,772.37 is: 11,629.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,034.50 : 19,503.30 = 7,772.37 : x
  2. Step 2: Convert to fraction form
    13,034.50/19,503.30 = 7,772.37/x
  3. Step 3: Cross multiply
    13,034.50x = 19,503.30 × 7,772.37
  4. Step 4: Simplify right side
    13,034.50x = 151,586,885.82
  5. Step 5: Solve for x
    x = 151,586,885.82/13,034.50
  6. Step 6: Final answer
    x = 11,629.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.