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Finding the Fourth Proportional to 12,352.74, 17,054.73 and 11,024.16

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Solution

The fourth proportional to 12,352.74, 17,054.73 and 11,024.16 is: 15,220.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,352.74 : 17,054.73 = 11,024.16 : x
  2. Step 2: Convert to fraction form
    12,352.74/17,054.73 = 11,024.16/x
  3. Step 3: Cross multiply
    12,352.74x = 17,054.73 × 11,024.16
  4. Step 4: Simplify right side
    12,352.74x = 188,014,072.28
  5. Step 5: Solve for x
    x = 188,014,072.28/12,352.74
  6. Step 6: Final answer
    x = 15,220.43

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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.