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Finding the Fourth Proportional to 14,577.39, 21,866.49 and 5,692.38

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Solution

The fourth proportional to 14,577.39, 21,866.49 and 5,692.38 is: 8,538.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,577.39 : 21,866.49 = 5,692.38 : x
  2. Step 2: Convert to fraction form
    14,577.39/21,866.49 = 5,692.38/x
  3. Step 3: Cross multiply
    14,577.39x = 21,866.49 × 5,692.38
  4. Step 4: Simplify right side
    14,577.39x = 124,472,370.35
  5. Step 5: Solve for x
    x = 124,472,370.35/14,577.39
  6. Step 6: Final answer
    x = 8,538.73

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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.