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Finding the Fourth Proportional to 23,159, 34,738.50 and 8,367.59

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Solution

The fourth proportional to 23,159, 34,738.50 and 8,367.59 is: 12,551.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,159 : 34,738.50 = 8,367.59 : x
  2. Step 2: Convert to fraction form
    23,159/34,738.50 = 8,367.59/x
  3. Step 3: Cross multiply
    23,159x = 34,738.50 × 8,367.59
  4. Step 4: Simplify right side
    23,159x = 290,677,525.22
  5. Step 5: Solve for x
    x = 290,677,525.22/23,159
  6. Step 6: Final answer
    x = 12,551.39

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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.