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Finding the Fourth Proportional to 17,432.98, 24,057.67 and 9,475.22

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Solution

The fourth proportional to 17,432.98, 24,057.67 and 9,475.22 is: 13,075.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,432.98 : 24,057.67 = 9,475.22 : x
  2. Step 2: Convert to fraction form
    17,432.98/24,057.67 = 9,475.22/x
  3. Step 3: Cross multiply
    17,432.98x = 24,057.67 × 9,475.22
  4. Step 4: Simplify right side
    17,432.98x = 227,951,692.25
  5. Step 5: Solve for x
    x = 227,951,692.25/17,432.98
  6. Step 6: Final answer
    x = 13,075.89

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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.