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Finding the Fourth Proportional to 20,222.84, 30,319.68 and 7,071.68

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Solution

The fourth proportional to 20,222.84, 30,319.68 and 7,071.68 is: 10,602.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,222.84 : 30,319.68 = 7,071.68 : x
  2. Step 2: Convert to fraction form
    20,222.84/30,319.68 = 7,071.68/x
  3. Step 3: Cross multiply
    20,222.84x = 30,319.68 × 7,071.68
  4. Step 4: Simplify right side
    20,222.84x = 214,411,074.66
  5. Step 5: Solve for x
    x = 214,411,074.66/20,222.84
  6. Step 6: Final answer
    x = 10,602.42

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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.