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Finding the Fourth Proportional to 22,690.80, 34,021.62 and 9,539.64

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Solution

The fourth proportional to 22,690.80, 34,021.62 and 9,539.64 is: 14,303.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,690.80 : 34,021.62 = 9,539.64 : x
  2. Step 2: Convert to fraction form
    22,690.80/34,021.62 = 9,539.64/x
  3. Step 3: Cross multiply
    22,690.80x = 34,021.62 × 9,539.64
  4. Step 4: Simplify right side
    22,690.80x = 324,554,007.02
  5. Step 5: Solve for x
    x = 324,554,007.02/22,690.80
  6. Step 6: Final answer
    x = 14,303.33

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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.