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Finding the Fourth Proportional to 17,640.79, 26,416.07 and 9,734.53

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Solution

The fourth proportional to 17,640.79, 26,416.07 and 9,734.53 is: 14,576.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,640.79 : 26,416.07 = 9,734.53 : x
  2. Step 2: Convert to fraction form
    17,640.79/26,416.07 = 9,734.53/x
  3. Step 3: Cross multiply
    17,640.79x = 26,416.07 × 9,734.53
  4. Step 4: Simplify right side
    17,640.79x = 257,148,023.36
  5. Step 5: Solve for x
    x = 257,148,023.36/17,640.79
  6. Step 6: Final answer
    x = 14,576.90

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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.