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Finding the Fourth Proportional to 22,098.25, 33,142.31 and 6,302.98

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Solution

The fourth proportional to 22,098.25, 33,142.31 and 6,302.98 is: 9,453.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,098.25 : 33,142.31 = 6,302.98 : x
  2. Step 2: Convert to fraction form
    22,098.25/33,142.31 = 6,302.98/x
  3. Step 3: Cross multiply
    22,098.25x = 33,142.31 × 6,302.98
  4. Step 4: Simplify right side
    22,098.25x = 208,895,119.86
  5. Step 5: Solve for x
    x = 208,895,119.86/22,098.25
  6. Step 6: Final answer
    x = 9,453.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.