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Finding the Fourth Proportional to 13,447.16, 18,557.16 and 7,781.91

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Solution

The fourth proportional to 13,447.16, 18,557.16 and 7,781.91 is: 10,739.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,447.16 : 18,557.16 = 7,781.91 : x
  2. Step 2: Convert to fraction form
    13,447.16/18,557.16 = 7,781.91/x
  3. Step 3: Cross multiply
    13,447.16x = 18,557.16 × 7,781.91
  4. Step 4: Simplify right side
    13,447.16x = 144,410,148.98
  5. Step 5: Solve for x
    x = 144,410,148.98/13,447.16
  6. Step 6: Final answer
    x = 10,739.08

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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.