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Finding the Fourth Proportional to 22,197.60, 33,292.40 and 6,398.76

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Solution

The fourth proportional to 22,197.60, 33,292.40 and 6,398.76 is: 9,596.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,197.60 : 33,292.40 = 6,398.76 : x
  2. Step 2: Convert to fraction form
    22,197.60/33,292.40 = 6,398.76/x
  3. Step 3: Cross multiply
    22,197.60x = 33,292.40 × 6,398.76
  4. Step 4: Simplify right side
    22,197.60x = 213,030,045.43
  5. Step 5: Solve for x
    x = 213,030,045.43/22,197.60
  6. Step 6: Final answer
    x = 9,596.99

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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.