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Finding the Fourth Proportional to 12,818.64, 17,699.22 and 8,344.86

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Solution

The fourth proportional to 12,818.64, 17,699.22 and 8,344.86 is: 11,522.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,818.64 : 17,699.22 = 8,344.86 : x
  2. Step 2: Convert to fraction form
    12,818.64/17,699.22 = 8,344.86/x
  3. Step 3: Cross multiply
    12,818.64x = 17,699.22 × 8,344.86
  4. Step 4: Simplify right side
    12,818.64x = 147,697,513.01
  5. Step 5: Solve for x
    x = 147,697,513.01/12,818.64
  6. Step 6: Final answer
    x = 11,522.09

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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.