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Finding the Fourth Proportional to 21,490.68, 32,235.87 and 11,692.23

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Solution

The fourth proportional to 21,490.68, 32,235.87 and 11,692.23 is: 17,538.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,490.68 : 32,235.87 = 11,692.23 : x
  2. Step 2: Convert to fraction form
    21,490.68/32,235.87 = 11,692.23/x
  3. Step 3: Cross multiply
    21,490.68x = 32,235.87 × 11,692.23
  4. Step 4: Simplify right side
    21,490.68x = 376,909,206.29
  5. Step 5: Solve for x
    x = 376,909,206.29/21,490.68
  6. Step 6: Final answer
    x = 17,538.26

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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.