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Finding the Fourth Proportional to 12,911.84, 17,824.92 and 9,137.96

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Solution

The fourth proportional to 12,911.84, 17,824.92 and 9,137.96 is: 12,615.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,911.84 : 17,824.92 = 9,137.96 : x
  2. Step 2: Convert to fraction form
    12,911.84/17,824.92 = 9,137.96/x
  3. Step 3: Cross multiply
    12,911.84x = 17,824.92 × 9,137.96
  4. Step 4: Simplify right side
    12,911.84x = 162,883,405.96
  5. Step 5: Solve for x
    x = 162,883,405.96/12,911.84
  6. Step 6: Final answer
    x = 12,615.04

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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.