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Finding the Fourth Proportional to 21,692.34, 29,924.64 and 14,606.46

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Solution

The fourth proportional to 21,692.34, 29,924.64 and 14,606.46 is: 20,149.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,692.34 : 29,924.64 = 14,606.46 : x
  2. Step 2: Convert to fraction form
    21,692.34/29,924.64 = 14,606.46/x
  3. Step 3: Cross multiply
    21,692.34x = 29,924.64 × 14,606.46
  4. Step 4: Simplify right side
    21,692.34x = 437,093,057.17
  5. Step 5: Solve for x
    x = 437,093,057.17/21,692.34
  6. Step 6: Final answer
    x = 20,149.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.