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Finding the Fourth Proportional to 23,386.14, 35,067.84 and 7,798.50

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Solution

The fourth proportional to 23,386.14, 35,067.84 and 7,798.50 is: 11,693.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,386.14 : 35,067.84 = 7,798.50 : x
  2. Step 2: Convert to fraction form
    23,386.14/35,067.84 = 7,798.50/x
  3. Step 3: Cross multiply
    23,386.14x = 35,067.84 × 7,798.50
  4. Step 4: Simplify right side
    23,386.14x = 273,476,550.24
  5. Step 5: Solve for x
    x = 273,476,550.24/23,386.14
  6. Step 6: Final answer
    x = 11,693.96

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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.