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Finding the Fourth Proportional to 12,344.16, 17,035.32 and 6,755.28

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Solution

The fourth proportional to 12,344.16, 17,035.32 and 6,755.28 is: 9,322.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,344.16 : 17,035.32 = 6,755.28 : x
  2. Step 2: Convert to fraction form
    12,344.16/17,035.32 = 6,755.28/x
  3. Step 3: Cross multiply
    12,344.16x = 17,035.32 × 6,755.28
  4. Step 4: Simplify right side
    12,344.16x = 115,078,356.49
  5. Step 5: Solve for x
    x = 115,078,356.49/12,344.16
  6. Step 6: Final answer
    x = 9,322.49

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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.