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Finding the Fourth Proportional to 34,822.66, 52,231.94 and 9,866.26

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Solution

The fourth proportional to 34,822.66, 52,231.94 and 9,866.26 is: 14,798.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,822.66 : 52,231.94 = 9,866.26 : x
  2. Step 2: Convert to fraction form
    34,822.66/52,231.94 = 9,866.26/x
  3. Step 3: Cross multiply
    34,822.66x = 52,231.94 × 9,866.26
  4. Step 4: Simplify right side
    34,822.66x = 515,333,659.50
  5. Step 5: Solve for x
    x = 515,333,659.50/34,822.66
  6. Step 6: Final answer
    x = 14,798.80

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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.