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Finding the Fourth Proportional to 11,623.34, 17,434.21 and 6,689.34

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Solution

The fourth proportional to 11,623.34, 17,434.21 and 6,689.34 is: 10,033.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,623.34 : 17,434.21 = 6,689.34 : x
  2. Step 2: Convert to fraction form
    11,623.34/17,434.21 = 6,689.34/x
  3. Step 3: Cross multiply
    11,623.34x = 17,434.21 × 6,689.34
  4. Step 4: Simplify right side
    11,623.34x = 116,623,358.32
  5. Step 5: Solve for x
    x = 116,623,358.32/11,623.34
  6. Step 6: Final answer
    x = 10,033.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.