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Finding the Fourth Proportional to 11,892.60, 17,817.30 and 9,689.40

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Solution

The fourth proportional to 11,892.60, 17,817.30 and 9,689.40 is: 14,516.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,892.60 : 17,817.30 = 9,689.40 : x
  2. Step 2: Convert to fraction form
    11,892.60/17,817.30 = 9,689.40/x
  3. Step 3: Cross multiply
    11,892.60x = 17,817.30 × 9,689.40
  4. Step 4: Simplify right side
    11,892.60x = 172,638,946.62
  5. Step 5: Solve for x
    x = 172,638,946.62/11,892.60
  6. Step 6: Final answer
    x = 14,516.50

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Why These Related Problems?

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