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Finding the Fourth Proportional to 12,914.96, 17,820.52 and 8,134.16

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Solution

The fourth proportional to 12,914.96, 17,820.52 and 8,134.16 is: 11,223.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,914.96 : 17,820.52 = 8,134.16 : x
  2. Step 2: Convert to fraction form
    12,914.96/17,820.52 = 8,134.16/x
  3. Step 3: Cross multiply
    12,914.96x = 17,820.52 × 8,134.16
  4. Step 4: Simplify right side
    12,914.96x = 144,954,960.96
  5. Step 5: Solve for x
    x = 144,954,960.96/12,914.96
  6. Step 6: Final answer
    x = 11,223.80

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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.