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Finding the Fourth Proportional to 11,806.08, 17,598 and 11,428.80

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Solution

The fourth proportional to 11,806.08, 17,598 and 11,428.80 is: 17,035.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.08 : 17,598 = 11,428.80 : x
  2. Step 2: Convert to fraction form
    11,806.08/17,598 = 11,428.80/x
  3. Step 3: Cross multiply
    11,806.08x = 17,598 × 11,428.80
  4. Step 4: Simplify right side
    11,806.08x = 201,124,022.40
  5. Step 5: Solve for x
    x = 201,124,022.40/11,806.08
  6. Step 6: Final answer
    x = 17,035.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.