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Finding the Fourth Proportional to 23,632.34, 35,458.93 and 12,536.31

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Solution

The fourth proportional to 23,632.34, 35,458.93 and 12,536.31 is: 18,809.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,632.34 : 35,458.93 = 12,536.31 : x
  2. Step 2: Convert to fraction form
    23,632.34/35,458.93 = 12,536.31/x
  3. Step 3: Cross multiply
    23,632.34x = 35,458.93 × 12,536.31
  4. Step 4: Simplify right side
    23,632.34x = 444,524,138.75
  5. Step 5: Solve for x
    x = 444,524,138.75/23,632.34
  6. Step 6: Final answer
    x = 18,809.99

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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.