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Finding the Fourth Proportional to 26,174.25, 39,267.86 and 7,706.25

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Solution

The fourth proportional to 26,174.25, 39,267.86 and 7,706.25 is: 11,561.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,174.25 : 39,267.86 = 7,706.25 : x
  2. Step 2: Convert to fraction form
    26,174.25/39,267.86 = 7,706.25/x
  3. Step 3: Cross multiply
    26,174.25x = 39,267.86 × 7,706.25
  4. Step 4: Simplify right side
    26,174.25x = 302,607,907.59
  5. Step 5: Solve for x
    x = 302,607,907.59/26,174.25
  6. Step 6: Final answer
    x = 11,561.28

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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.