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Finding the Fourth Proportional to 17,689.86, 26,538.23 and 5,843.14

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Solution

The fourth proportional to 17,689.86, 26,538.23 and 5,843.14 is: 8,765.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,689.86 : 26,538.23 = 5,843.14 : x
  2. Step 2: Convert to fraction form
    17,689.86/26,538.23 = 5,843.14/x
  3. Step 3: Cross multiply
    17,689.86x = 26,538.23 × 5,843.14
  4. Step 4: Simplify right side
    17,689.86x = 155,066,541.50
  5. Step 5: Solve for x
    x = 155,066,541.50/17,689.86
  6. Step 6: Final answer
    x = 8,765.84

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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.