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Finding the Fourth Proportional to 15,067, 22,601.04 and 4,678.48

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Solution

The fourth proportional to 15,067, 22,601.04 and 4,678.48 is: 7,017.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,067 : 22,601.04 = 4,678.48 : x
  2. Step 2: Convert to fraction form
    15,067/22,601.04 = 4,678.48/x
  3. Step 3: Cross multiply
    15,067x = 22,601.04 × 4,678.48
  4. Step 4: Simplify right side
    15,067x = 105,738,513.62
  5. Step 5: Solve for x
    x = 105,738,513.62/15,067
  6. Step 6: Final answer
    x = 7,017.89

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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.