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Finding the Fourth Proportional to 17,692.76, 24,416.42 and 9,735.18

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Solution

The fourth proportional to 17,692.76, 24,416.42 and 9,735.18 is: 13,434.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,692.76 : 24,416.42 = 9,735.18 : x
  2. Step 2: Convert to fraction form
    17,692.76/24,416.42 = 9,735.18/x
  3. Step 3: Cross multiply
    17,692.76x = 24,416.42 × 9,735.18
  4. Step 4: Simplify right side
    17,692.76x = 237,698,243.66
  5. Step 5: Solve for x
    x = 237,698,243.66/17,692.76
  6. Step 6: Final answer
    x = 13,434.77

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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.