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Finding the Fourth Proportional to 17,892.50, 24,692.31 and 9,826.48

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Solution

The fourth proportional to 17,892.50, 24,692.31 and 9,826.48 is: 13,560.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,892.50 : 24,692.31 = 9,826.48 : x
  2. Step 2: Convert to fraction form
    17,892.50/24,692.31 = 9,826.48/x
  3. Step 3: Cross multiply
    17,892.50x = 24,692.31 × 9,826.48
  4. Step 4: Simplify right side
    17,892.50x = 242,638,521.23
  5. Step 5: Solve for x
    x = 242,638,521.23/17,892.50
  6. Step 6: Final answer
    x = 13,560.91

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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.