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Finding the Fourth Proportional to 15,935.80, 23,906.40 and 4,842.40

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Solution

The fourth proportional to 15,935.80, 23,906.40 and 4,842.40 is: 7,264.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,935.80 : 23,906.40 = 4,842.40 : x
  2. Step 2: Convert to fraction form
    15,935.80/23,906.40 = 4,842.40/x
  3. Step 3: Cross multiply
    15,935.80x = 23,906.40 × 4,842.40
  4. Step 4: Simplify right side
    15,935.80x = 115,764,351.36
  5. Step 5: Solve for x
    x = 115,764,351.36/15,935.80
  6. Step 6: Final answer
    x = 7,264.42

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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.