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Finding the Fourth Proportional to 26,509.44, 39,764.16 and 8,041.44

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Solution

The fourth proportional to 26,509.44, 39,764.16 and 8,041.44 is: 12,062.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,509.44 : 39,764.16 = 8,041.44 : x
  2. Step 2: Convert to fraction form
    26,509.44/39,764.16 = 8,041.44/x
  3. Step 3: Cross multiply
    26,509.44x = 39,764.16 × 8,041.44
  4. Step 4: Simplify right side
    26,509.44x = 319,761,106.79
  5. Step 5: Solve for x
    x = 319,761,106.79/26,509.44
  6. Step 6: Final answer
    x = 12,062.16

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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.