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Finding the Fourth Proportional to 13,930.30, 19,223.75 and 8,267.86

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Solution

The fourth proportional to 13,930.30, 19,223.75 and 8,267.86 is: 11,409.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,930.30 : 19,223.75 = 8,267.86 : x
  2. Step 2: Convert to fraction form
    13,930.30/19,223.75 = 8,267.86/x
  3. Step 3: Cross multiply
    13,930.30x = 19,223.75 × 8,267.86
  4. Step 4: Simplify right side
    13,930.30x = 158,939,136.22
  5. Step 5: Solve for x
    x = 158,939,136.22/13,930.30
  6. Step 6: Final answer
    x = 11,409.60

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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.