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Finding the Fourth Proportional to 23,086.58, 34,635.63 and 9,235.22

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Solution

The fourth proportional to 23,086.58, 34,635.63 and 9,235.22 is: 13,855.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,086.58 : 34,635.63 = 9,235.22 : x
  2. Step 2: Convert to fraction form
    23,086.58/34,635.63 = 9,235.22/x
  3. Step 3: Cross multiply
    23,086.58x = 34,635.63 × 9,235.22
  4. Step 4: Simplify right side
    23,086.58x = 319,867,662.89
  5. Step 5: Solve for x
    x = 319,867,662.89/23,086.58
  6. Step 6: Final answer
    x = 13,855.13

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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.