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Finding the Fourth Proportional to 16,915.61, 23,348.24 and 9,843.40

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Solution

The fourth proportional to 16,915.61, 23,348.24 and 9,843.40 is: 13,586.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,915.61 : 23,348.24 = 9,843.40 : x
  2. Step 2: Convert to fraction form
    16,915.61/23,348.24 = 9,843.40/x
  3. Step 3: Cross multiply
    16,915.61x = 23,348.24 × 9,843.40
  4. Step 4: Simplify right side
    16,915.61x = 229,826,065.62
  5. Step 5: Solve for x
    x = 229,826,065.62/16,915.61
  6. Step 6: Final answer
    x = 13,586.63

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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.