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Finding the Fourth Proportional to 19,128.66, 28,698.57 and 8,029.50

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Solution

The fourth proportional to 19,128.66, 28,698.57 and 8,029.50 is: 12,046.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,128.66 : 28,698.57 = 8,029.50 : x
  2. Step 2: Convert to fraction form
    19,128.66/28,698.57 = 8,029.50/x
  3. Step 3: Cross multiply
    19,128.66x = 28,698.57 × 8,029.50
  4. Step 4: Simplify right side
    19,128.66x = 230,435,167.82
  5. Step 5: Solve for x
    x = 230,435,167.82/19,128.66
  6. Step 6: Final answer
    x = 12,046.59

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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.