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Finding the Fourth Proportional to 11,915.72, 17,844.30 and 9,822.92

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Solution

The fourth proportional to 11,915.72, 17,844.30 and 9,822.92 is: 14,710.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,915.72 : 17,844.30 = 9,822.92 : x
  2. Step 2: Convert to fraction form
    11,915.72/17,844.30 = 9,822.92/x
  3. Step 3: Cross multiply
    11,915.72x = 17,844.30 × 9,822.92
  4. Step 4: Simplify right side
    11,915.72x = 175,283,131.36
  5. Step 5: Solve for x
    x = 175,283,131.36/11,915.72
  6. Step 6: Final answer
    x = 14,710.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.