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Finding the Fourth Proportional to 22,675.86, 34,029.27 and 7,884.63

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Solution

The fourth proportional to 22,675.86, 34,029.27 and 7,884.63 is: 11,832.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,675.86 : 34,029.27 = 7,884.63 : x
  2. Step 2: Convert to fraction form
    22,675.86/34,029.27 = 7,884.63/x
  3. Step 3: Cross multiply
    22,675.86x = 34,029.27 × 7,884.63
  4. Step 4: Simplify right side
    22,675.86x = 268,308,203.12
  5. Step 5: Solve for x
    x = 268,308,203.12/22,675.86
  6. Step 6: Final answer
    x = 11,832.33

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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.