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Finding the Fourth Proportional to 22,713.39, 34,071.62 and 7,722.02

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Solution

The fourth proportional to 22,713.39, 34,071.62 and 7,722.02 is: 11,583.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,713.39 : 34,071.62 = 7,722.02 : x
  2. Step 2: Convert to fraction form
    22,713.39/34,071.62 = 7,722.02/x
  3. Step 3: Cross multiply
    22,713.39x = 34,071.62 × 7,722.02
  4. Step 4: Simplify right side
    22,713.39x = 263,101,777.64
  5. Step 5: Solve for x
    x = 263,101,777.64/22,713.39
  6. Step 6: Final answer
    x = 11,583.55

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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.