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Finding the Fourth Proportional to 13,376.16, 18,454.86 and 7,786.08

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Solution

The fourth proportional to 13,376.16, 18,454.86 and 7,786.08 is: 10,742.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,376.16 : 18,454.86 = 7,786.08 : x
  2. Step 2: Convert to fraction form
    13,376.16/18,454.86 = 7,786.08/x
  3. Step 3: Cross multiply
    13,376.16x = 18,454.86 × 7,786.08
  4. Step 4: Simplify right side
    13,376.16x = 143,691,016.35
  5. Step 5: Solve for x
    x = 143,691,016.35/13,376.16
  6. Step 6: Final answer
    x = 10,742.32

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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.