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Finding the Fourth Proportional to 26,189.58, 39,284.37 and 21,562.86

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Solution

The fourth proportional to 26,189.58, 39,284.37 and 21,562.86 is: 32,344.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,189.58 : 39,284.37 = 21,562.86 : x
  2. Step 2: Convert to fraction form
    26,189.58/39,284.37 = 21,562.86/x
  3. Step 3: Cross multiply
    26,189.58x = 39,284.37 × 21,562.86
  4. Step 4: Simplify right side
    26,189.58x = 847,083,370.50
  5. Step 5: Solve for x
    x = 847,083,370.50/26,189.58
  6. Step 6: Final answer
    x = 32,344.29

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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.