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Finding the Fourth Proportional to 13,344.36, 18,416.34 and 7,755

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Solution

The fourth proportional to 13,344.36, 18,416.34 and 7,755 is: 10,702.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,344.36 : 18,416.34 = 7,755 : x
  2. Step 2: Convert to fraction form
    13,344.36/18,416.34 = 7,755/x
  3. Step 3: Cross multiply
    13,344.36x = 18,416.34 × 7,755
  4. Step 4: Simplify right side
    13,344.36x = 142,818,716.70
  5. Step 5: Solve for x
    x = 142,818,716.70/13,344.36
  6. Step 6: Final answer
    x = 10,702.55

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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.