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Finding the Fourth Proportional to 17,517.84, 24,173.16 and 9,965.76

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Solution

The fourth proportional to 17,517.84, 24,173.16 and 9,965.76 is: 13,751.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,517.84 : 24,173.16 = 9,965.76 : x
  2. Step 2: Convert to fraction form
    17,517.84/24,173.16 = 9,965.76/x
  3. Step 3: Cross multiply
    17,517.84x = 24,173.16 × 9,965.76
  4. Step 4: Simplify right side
    17,517.84x = 240,903,911.00
  5. Step 5: Solve for x
    x = 240,903,911.00/17,517.84
  6. Step 6: Final answer
    x = 13,751.92

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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.