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Finding the Fourth Proportional to 14,449.63, 19,940.48 and 7,825.63

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Solution

The fourth proportional to 14,449.63, 19,940.48 and 7,825.63 is: 10,799.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,449.63 : 19,940.48 = 7,825.63 : x
  2. Step 2: Convert to fraction form
    14,449.63/19,940.48 = 7,825.63/x
  3. Step 3: Cross multiply
    14,449.63x = 19,940.48 × 7,825.63
  4. Step 4: Simplify right side
    14,449.63x = 156,046,818.50
  5. Step 5: Solve for x
    x = 156,046,818.50/14,449.63
  6. Step 6: Final answer
    x = 10,799.36

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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.