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Finding the Fourth Proportional to 13,243.56, 19,846.88 and 9,952.80

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Solution

The fourth proportional to 13,243.56, 19,846.88 and 9,952.80 is: 14,915.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,243.56 : 19,846.88 = 9,952.80 : x
  2. Step 2: Convert to fraction form
    13,243.56/19,846.88 = 9,952.80/x
  3. Step 3: Cross multiply
    13,243.56x = 19,846.88 × 9,952.80
  4. Step 4: Simplify right side
    13,243.56x = 197,531,977.50
  5. Step 5: Solve for x
    x = 197,531,977.50/13,243.56
  6. Step 6: Final answer
    x = 14,915.32

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Why These Related Problems?

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