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Finding the Fourth Proportional to 22,098.50, 33,142.68 and 6,303.23

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Solution

The fourth proportional to 22,098.50, 33,142.68 and 6,303.23 is: 9,453.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,098.50 : 33,142.68 = 6,303.23 : x
  2. Step 2: Convert to fraction form
    22,098.50/33,142.68 = 6,303.23/x
  3. Step 3: Cross multiply
    22,098.50x = 33,142.68 × 6,303.23
  4. Step 4: Simplify right side
    22,098.50x = 208,905,769.14
  5. Step 5: Solve for x
    x = 208,905,769.14/22,098.50
  6. Step 6: Final answer
    x = 9,453.39

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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.