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Finding the Fourth Proportional to 14,675.80, 21,974.82 and 7,735.72

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Solution

The fourth proportional to 14,675.80, 21,974.82 and 7,735.72 is: 11,583.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,675.80 : 21,974.82 = 7,735.72 : x
  2. Step 2: Convert to fraction form
    14,675.80/21,974.82 = 7,735.72/x
  3. Step 3: Cross multiply
    14,675.80x = 21,974.82 × 7,735.72
  4. Step 4: Simplify right side
    14,675.80x = 169,991,054.57
  5. Step 5: Solve for x
    x = 169,991,054.57/14,675.80
  6. Step 6: Final answer
    x = 11,583.09

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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.