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Finding the Fourth Proportional to 22,299, 33,442.98 and 6,503.58

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Solution

The fourth proportional to 22,299, 33,442.98 and 6,503.58 is: 9,753.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,299 : 33,442.98 = 6,503.58 : x
  2. Step 2: Convert to fraction form
    22,299/33,442.98 = 6,503.58/x
  3. Step 3: Cross multiply
    22,299x = 33,442.98 × 6,503.58
  4. Step 4: Simplify right side
    22,299x = 217,499,095.87
  5. Step 5: Solve for x
    x = 217,499,095.87/22,299
  6. Step 6: Final answer
    x = 9,753.76

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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.