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Finding the Fourth Proportional to 12,858.35, 17,743.86 and 7,551.23

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Solution

The fourth proportional to 12,858.35, 17,743.86 and 7,551.23 is: 10,420.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,858.35 : 17,743.86 = 7,551.23 : x
  2. Step 2: Convert to fraction form
    12,858.35/17,743.86 = 7,551.23/x
  3. Step 3: Cross multiply
    12,858.35x = 17,743.86 × 7,551.23
  4. Step 4: Simplify right side
    12,858.35x = 133,987,879.23
  5. Step 5: Solve for x
    x = 133,987,879.23/12,858.35
  6. Step 6: Final answer
    x = 10,420.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.