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Finding the Fourth Proportional to 25,692.26, 38,537.64 and 11,642.13

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Solution

The fourth proportional to 25,692.26, 38,537.64 and 11,642.13 is: 17,462.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,692.26 : 38,537.64 = 11,642.13 : x
  2. Step 2: Convert to fraction form
    25,692.26/38,537.64 = 11,642.13/x
  3. Step 3: Cross multiply
    25,692.26x = 38,537.64 × 11,642.13
  4. Step 4: Simplify right side
    25,692.26x = 448,660,214.77
  5. Step 5: Solve for x
    x = 448,660,214.77/25,692.26
  6. Step 6: Final answer
    x = 17,462.86

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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.