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Finding the Fourth Proportional to 12,807.34, 17,677.50 and 8,343.34

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Solution

The fourth proportional to 12,807.34, 17,677.50 and 8,343.34 is: 11,516.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,807.34 : 17,677.50 = 8,343.34 : x
  2. Step 2: Convert to fraction form
    12,807.34/17,677.50 = 8,343.34/x
  3. Step 3: Cross multiply
    12,807.34x = 17,677.50 × 8,343.34
  4. Step 4: Simplify right side
    12,807.34x = 147,489,392.85
  5. Step 5: Solve for x
    x = 147,489,392.85/12,807.34
  6. Step 6: Final answer
    x = 11,516.01

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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.