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Finding the Fourth Proportional to 14,089.49, 19,443.53 and 7,629.20

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Solution

The fourth proportional to 14,089.49, 19,443.53 and 7,629.20 is: 10,528.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,089.49 : 19,443.53 = 7,629.20 : x
  2. Step 2: Convert to fraction form
    14,089.49/19,443.53 = 7,629.20/x
  3. Step 3: Cross multiply
    14,089.49x = 19,443.53 × 7,629.20
  4. Step 4: Simplify right side
    14,089.49x = 148,338,579.08
  5. Step 5: Solve for x
    x = 148,338,579.08/14,089.49
  6. Step 6: Final answer
    x = 10,528.31

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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.