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Finding the Fourth Proportional to 26,042.84, 39,064.26 and 7,324.86

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Solution

The fourth proportional to 26,042.84, 39,064.26 and 7,324.86 is: 10,987.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,042.84 : 39,064.26 = 7,324.86 : x
  2. Step 2: Convert to fraction form
    26,042.84/39,064.26 = 7,324.86/x
  3. Step 3: Cross multiply
    26,042.84x = 39,064.26 × 7,324.86
  4. Step 4: Simplify right side
    26,042.84x = 286,140,235.50
  5. Step 5: Solve for x
    x = 286,140,235.50/26,042.84
  6. Step 6: Final answer
    x = 10,987.29

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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.