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Finding the Fourth Proportional to 23,563.71, 35,338.06 and 7,765.79

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Solution

The fourth proportional to 23,563.71, 35,338.06 and 7,765.79 is: 11,646.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,563.71 : 35,338.06 = 7,765.79 : x
  2. Step 2: Convert to fraction form
    23,563.71/35,338.06 = 7,765.79/x
  3. Step 3: Cross multiply
    23,563.71x = 35,338.06 × 7,765.79
  4. Step 4: Simplify right side
    23,563.71x = 274,427,952.97
  5. Step 5: Solve for x
    x = 274,427,952.97/23,563.71
  6. Step 6: Final answer
    x = 11,646.21

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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.