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Finding the Fourth Proportional to 15,855.98, 23,783.97 and 6,615.50

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Solution

The fourth proportional to 15,855.98, 23,783.97 and 6,615.50 is: 9,923.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,855.98 : 23,783.97 = 6,615.50 : x
  2. Step 2: Convert to fraction form
    15,855.98/23,783.97 = 6,615.50/x
  3. Step 3: Cross multiply
    15,855.98x = 23,783.97 × 6,615.50
  4. Step 4: Simplify right side
    15,855.98x = 157,342,853.54
  5. Step 5: Solve for x
    x = 157,342,853.54/15,855.98
  6. Step 6: Final answer
    x = 9,923.25

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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.