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Finding the Fourth Proportional to 15,608.50, 23,415.08 and 5,747.02

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Solution

The fourth proportional to 15,608.50, 23,415.08 and 5,747.02 is: 8,621.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,608.50 : 23,415.08 = 5,747.02 : x
  2. Step 2: Convert to fraction form
    15,608.50/23,415.08 = 5,747.02/x
  3. Step 3: Cross multiply
    15,608.50x = 23,415.08 × 5,747.02
  4. Step 4: Simplify right side
    15,608.50x = 134,566,947.43
  5. Step 5: Solve for x
    x = 134,566,947.43/15,608.50
  6. Step 6: Final answer
    x = 8,621.39

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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.