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Finding the Fourth Proportional to 13,734, 18,945.63 and 8,358.06

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Solution

The fourth proportional to 13,734, 18,945.63 and 8,358.06 is: 11,529.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,734 : 18,945.63 = 8,358.06 : x
  2. Step 2: Convert to fraction form
    13,734/18,945.63 = 8,358.06/x
  3. Step 3: Cross multiply
    13,734x = 18,945.63 × 8,358.06
  4. Step 4: Simplify right side
    13,734x = 158,348,712.28
  5. Step 5: Solve for x
    x = 158,348,712.28/13,734
  6. Step 6: Final answer
    x = 11,529.69

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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.