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Finding the Fourth Proportional to 12,546.96, 17,316.18 and 8,009.78

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Solution

The fourth proportional to 12,546.96, 17,316.18 and 8,009.78 is: 11,054.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546.96 : 17,316.18 = 8,009.78 : x
  2. Step 2: Convert to fraction form
    12,546.96/17,316.18 = 8,009.78/x
  3. Step 3: Cross multiply
    12,546.96x = 17,316.18 × 8,009.78
  4. Step 4: Simplify right side
    12,546.96x = 138,698,792.24
  5. Step 5: Solve for x
    x = 138,698,792.24/12,546.96
  6. Step 6: Final answer
    x = 11,054.37

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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.