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Finding the Fourth Proportional to 13,173, 19,767.26 and 4,858.82

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Solution

The fourth proportional to 13,173, 19,767.26 and 4,858.82 is: 7,291.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,173 : 19,767.26 = 4,858.82 : x
  2. Step 2: Convert to fraction form
    13,173/19,767.26 = 4,858.82/x
  3. Step 3: Cross multiply
    13,173x = 19,767.26 × 4,858.82
  4. Step 4: Simplify right side
    13,173x = 96,045,558.23
  5. Step 5: Solve for x
    x = 96,045,558.23/13,173
  6. Step 6: Final answer
    x = 7,291.09

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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.