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Finding the Fourth Proportional to 13,296, 19,946.88 and 5,088

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Solution

The fourth proportional to 13,296, 19,946.88 and 5,088 is: 7,633.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,296 : 19,946.88 = 5,088 : x
  2. Step 2: Convert to fraction form
    13,296/19,946.88 = 5,088/x
  3. Step 3: Cross multiply
    13,296x = 19,946.88 × 5,088
  4. Step 4: Simplify right side
    13,296x = 101,489,725.44
  5. Step 5: Solve for x
    x = 101,489,725.44/13,296
  6. Step 6: Final answer
    x = 7,633.10

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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.