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Finding the Fourth Proportional to 26,692.25, 40,044.06 and 7,973.75

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Solution

The fourth proportional to 26,692.25, 40,044.06 and 7,973.75 is: 11,962.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,692.25 : 40,044.06 = 7,973.75 : x
  2. Step 2: Convert to fraction form
    26,692.25/40,044.06 = 7,973.75/x
  3. Step 3: Cross multiply
    26,692.25x = 40,044.06 × 7,973.75
  4. Step 4: Simplify right side
    26,692.25x = 319,301,323.43
  5. Step 5: Solve for x
    x = 319,301,323.43/26,692.25
  6. Step 6: Final answer
    x = 11,962.32

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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.