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Finding the Fourth Proportional to 15,796.36, 23,694 and 4,703.05

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Solution

The fourth proportional to 15,796.36, 23,694 and 4,703.05 is: 7,054.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,796.36 : 23,694 = 4,703.05 : x
  2. Step 2: Convert to fraction form
    15,796.36/23,694 = 4,703.05/x
  3. Step 3: Cross multiply
    15,796.36x = 23,694 × 4,703.05
  4. Step 4: Simplify right side
    15,796.36x = 111,434,066.70
  5. Step 5: Solve for x
    x = 111,434,066.70/15,796.36
  6. Step 6: Final answer
    x = 7,054.41

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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.