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Finding the Fourth Proportional to 21,692.64, 32,501.81 and 11,838.83

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Solution

The fourth proportional to 21,692.64, 32,501.81 and 11,838.83 is: 17,737.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,692.64 : 32,501.81 = 11,838.83 : x
  2. Step 2: Convert to fraction form
    21,692.64/32,501.81 = 11,838.83/x
  3. Step 3: Cross multiply
    21,692.64x = 32,501.81 × 11,838.83
  4. Step 4: Simplify right side
    21,692.64x = 384,783,478.01
  5. Step 5: Solve for x
    x = 384,783,478.01/21,692.64
  6. Step 6: Final answer
    x = 17,737.98

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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.