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Finding the Fourth Proportional to 17,893.04, 24,692.82 and 9,827

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Solution

The fourth proportional to 17,893.04, 24,692.82 and 9,827 is: 13,561.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,893.04 : 24,692.82 = 9,827 : x
  2. Step 2: Convert to fraction form
    17,893.04/24,692.82 = 9,827/x
  3. Step 3: Cross multiply
    17,893.04x = 24,692.82 × 9,827
  4. Step 4: Simplify right side
    17,893.04x = 242,656,342.14
  5. Step 5: Solve for x
    x = 242,656,342.14/17,893.04
  6. Step 6: Final answer
    x = 13,561.49

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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.