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Finding the Fourth Proportional to 23,038.58, 31,794.26 and 12,967.67

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Solution

The fourth proportional to 23,038.58, 31,794.26 and 12,967.67 is: 17,895.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,038.58 : 31,794.26 = 12,967.67 : x
  2. Step 2: Convert to fraction form
    23,038.58/31,794.26 = 12,967.67/x
  3. Step 3: Cross multiply
    23,038.58x = 31,794.26 × 12,967.67
  4. Step 4: Simplify right side
    23,038.58x = 412,297,486.22
  5. Step 5: Solve for x
    x = 412,297,486.22/23,038.58
  6. Step 6: Final answer
    x = 17,895.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.