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Finding the Fourth Proportional to 14,323.63, 19,766.30 and 7,949.85

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Solution

The fourth proportional to 14,323.63, 19,766.30 and 7,949.85 is: 10,970.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,323.63 : 19,766.30 = 7,949.85 : x
  2. Step 2: Convert to fraction form
    14,323.63/19,766.30 = 7,949.85/x
  3. Step 3: Cross multiply
    14,323.63x = 19,766.30 × 7,949.85
  4. Step 4: Simplify right side
    14,323.63x = 157,139,021.22
  5. Step 5: Solve for x
    x = 157,139,021.22/14,323.63
  6. Step 6: Final answer
    x = 10,970.62

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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.