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Finding the Fourth Proportional to 12,534.24, 17,287.24 and 8,058.44

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Solution

The fourth proportional to 12,534.24, 17,287.24 and 8,058.44 is: 11,114.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,534.24 : 17,287.24 = 8,058.44 : x
  2. Step 2: Convert to fraction form
    12,534.24/17,287.24 = 8,058.44/x
  3. Step 3: Cross multiply
    12,534.24x = 17,287.24 × 8,058.44
  4. Step 4: Simplify right side
    12,534.24x = 139,308,186.31
  5. Step 5: Solve for x
    x = 139,308,186.31/12,534.24
  6. Step 6: Final answer
    x = 11,114.21

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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.