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Finding the Fourth Proportional to 12,781.36, 17,645.20 and 8,964.72

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Solution

The fourth proportional to 12,781.36, 17,645.20 and 8,964.72 is: 12,376.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,781.36 : 17,645.20 = 8,964.72 : x
  2. Step 2: Convert to fraction form
    12,781.36/17,645.20 = 8,964.72/x
  3. Step 3: Cross multiply
    12,781.36x = 17,645.20 × 8,964.72
  4. Step 4: Simplify right side
    12,781.36x = 158,184,277.34
  5. Step 5: Solve for x
    x = 158,184,277.34/12,781.36
  6. Step 6: Final answer
    x = 12,376.17

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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.