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Finding the Fourth Proportional to 13,265.15, 19,871.64 and 7,706.82

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Solution

The fourth proportional to 13,265.15, 19,871.64 and 7,706.82 is: 11,545.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,265.15 : 19,871.64 = 7,706.82 : x
  2. Step 2: Convert to fraction form
    13,265.15/19,871.64 = 7,706.82/x
  3. Step 3: Cross multiply
    13,265.15x = 19,871.64 × 7,706.82
  4. Step 4: Simplify right side
    13,265.15x = 153,147,227.10
  5. Step 5: Solve for x
    x = 153,147,227.10/13,265.15
  6. Step 6: Final answer
    x = 11,545.09

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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.