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Finding the Fourth Proportional to 17,386.75, 26,057.76 and 7,892.13

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Solution

The fourth proportional to 17,386.75, 26,057.76 and 7,892.13 is: 11,828.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,386.75 : 26,057.76 = 7,892.13 : x
  2. Step 2: Convert to fraction form
    17,386.75/26,057.76 = 7,892.13/x
  3. Step 3: Cross multiply
    17,386.75x = 26,057.76 × 7,892.13
  4. Step 4: Simplify right side
    17,386.75x = 205,651,229.43
  5. Step 5: Solve for x
    x = 205,651,229.43/17,386.75
  6. Step 6: Final answer
    x = 11,828.04

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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.