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Finding the Fourth Proportional to 14,101.34, 19,459.83 and 7,728.33

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Solution

The fourth proportional to 14,101.34, 19,459.83 and 7,728.33 is: 10,665.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,101.34 : 19,459.83 = 7,728.33 : x
  2. Step 2: Convert to fraction form
    14,101.34/19,459.83 = 7,728.33/x
  3. Step 3: Cross multiply
    14,101.34x = 19,459.83 × 7,728.33
  4. Step 4: Simplify right side
    14,101.34x = 150,392,089.94
  5. Step 5: Solve for x
    x = 150,392,089.94/14,101.34
  6. Step 6: Final answer
    x = 10,665.09

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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.