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Finding the Fourth Proportional to 17,878.50, 24,672.33 and 9,922.01

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Solution

The fourth proportional to 17,878.50, 24,672.33 and 9,922.01 is: 13,692.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,878.50 : 24,672.33 = 9,922.01 : x
  2. Step 2: Convert to fraction form
    17,878.50/24,672.33 = 9,922.01/x
  3. Step 3: Cross multiply
    17,878.50x = 24,672.33 × 9,922.01
  4. Step 4: Simplify right side
    17,878.50x = 244,798,981.62
  5. Step 5: Solve for x
    x = 244,798,981.62/17,878.50
  6. Step 6: Final answer
    x = 13,692.37

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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.