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Finding the Fourth Proportional to 15,533.62, 23,308.62 and 6,769.22

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Solution

The fourth proportional to 15,533.62, 23,308.62 and 6,769.22 is: 10,157.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,533.62 : 23,308.62 = 6,769.22 : x
  2. Step 2: Convert to fraction form
    15,533.62/23,308.62 = 6,769.22/x
  3. Step 3: Cross multiply
    15,533.62x = 23,308.62 × 6,769.22
  4. Step 4: Simplify right side
    15,533.62x = 157,781,060.13
  5. Step 5: Solve for x
    x = 157,781,060.13/15,533.62
  6. Step 6: Final answer
    x = 10,157.39

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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.