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Finding the Fourth Proportional to 21,129.84, 31,692.87 and 6,342.06

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Solution

The fourth proportional to 21,129.84, 31,692.87 and 6,342.06 is: 9,512.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,129.84 : 31,692.87 = 6,342.06 : x
  2. Step 2: Convert to fraction form
    21,129.84/31,692.87 = 6,342.06/x
  3. Step 3: Cross multiply
    21,129.84x = 31,692.87 × 6,342.06
  4. Step 4: Simplify right side
    21,129.84x = 200,998,083.11
  5. Step 5: Solve for x
    x = 200,998,083.11/21,129.84
  6. Step 6: Final answer
    x = 9,512.52

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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.