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Finding the Fourth Proportional to 23,188.50, 34,783.02 and 7,606.80

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Solution

The fourth proportional to 23,188.50, 34,783.02 and 7,606.80 is: 11,410.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,188.50 : 34,783.02 = 7,606.80 : x
  2. Step 2: Convert to fraction form
    23,188.50/34,783.02 = 7,606.80/x
  3. Step 3: Cross multiply
    23,188.50x = 34,783.02 × 7,606.80
  4. Step 4: Simplify right side
    23,188.50x = 264,587,476.54
  5. Step 5: Solve for x
    x = 264,587,476.54/23,188.50
  6. Step 6: Final answer
    x = 11,410.29

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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.