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Finding the Fourth Proportional to 17,496.81, 24,146.10 and 9,539.17

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Solution

The fourth proportional to 17,496.81, 24,146.10 and 9,539.17 is: 13,164.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,496.81 : 24,146.10 = 9,539.17 : x
  2. Step 2: Convert to fraction form
    17,496.81/24,146.10 = 9,539.17/x
  3. Step 3: Cross multiply
    17,496.81x = 24,146.10 × 9,539.17
  4. Step 4: Simplify right side
    17,496.81x = 230,333,692.37
  5. Step 5: Solve for x
    x = 230,333,692.37/17,496.81
  6. Step 6: Final answer
    x = 13,164.32

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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.