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Finding the Fourth Proportional to 13,094.88, 19,641.33 and 5,704.62

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Solution

The fourth proportional to 13,094.88, 19,641.33 and 5,704.62 is: 8,556.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,094.88 : 19,641.33 = 5,704.62 : x
  2. Step 2: Convert to fraction form
    13,094.88/19,641.33 = 5,704.62/x
  3. Step 3: Cross multiply
    13,094.88x = 19,641.33 × 5,704.62
  4. Step 4: Simplify right side
    13,094.88x = 112,046,323.94
  5. Step 5: Solve for x
    x = 112,046,323.94/13,094.88
  6. Step 6: Final answer
    x = 8,556.50

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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.