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Finding the Fourth Proportional to 22,840.69, 34,261.77 and 6,200.68

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Solution

The fourth proportional to 22,840.69, 34,261.77 and 6,200.68 is: 9,301.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,840.69 : 34,261.77 = 6,200.68 : x
  2. Step 2: Convert to fraction form
    22,840.69/34,261.77 = 6,200.68/x
  3. Step 3: Cross multiply
    22,840.69x = 34,261.77 × 6,200.68
  4. Step 4: Simplify right side
    22,840.69x = 212,446,272.00
  5. Step 5: Solve for x
    x = 212,446,272.00/22,840.69
  6. Step 6: Final answer
    x = 9,301.22

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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.