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Finding the Fourth Proportional to 21,129.34, 31,692.12 and 6,341.56

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Solution

The fourth proportional to 21,129.34, 31,692.12 and 6,341.56 is: 9,511.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,129.34 : 31,692.12 = 6,341.56 : x
  2. Step 2: Convert to fraction form
    21,129.34/31,692.12 = 6,341.56/x
  3. Step 3: Cross multiply
    21,129.34x = 31,692.12 × 6,341.56
  4. Step 4: Simplify right side
    21,129.34x = 200,977,480.51
  5. Step 5: Solve for x
    x = 200,977,480.51/21,129.34
  6. Step 6: Final answer
    x = 9,511.77

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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.