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Finding the Fourth Proportional to 14,449.09, 19,949.31 and 9,675.16

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Solution

The fourth proportional to 14,449.09, 19,949.31 and 9,675.16 is: 13,358.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,449.09 : 19,949.31 = 9,675.16 : x
  2. Step 2: Convert to fraction form
    14,449.09/19,949.31 = 9,675.16/x
  3. Step 3: Cross multiply
    14,449.09x = 19,949.31 × 9,675.16
  4. Step 4: Simplify right side
    14,449.09x = 193,012,766.14
  5. Step 5: Solve for x
    x = 193,012,766.14/14,449.09
  6. Step 6: Final answer
    x = 13,358.13

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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.