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Finding the Fourth Proportional to 14,022.54, 21,035.82 and 4,659.48

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Solution

The fourth proportional to 14,022.54, 21,035.82 and 4,659.48 is: 6,989.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,022.54 : 21,035.82 = 4,659.48 : x
  2. Step 2: Convert to fraction form
    14,022.54/21,035.82 = 4,659.48/x
  3. Step 3: Cross multiply
    14,022.54x = 21,035.82 × 4,659.48
  4. Step 4: Simplify right side
    14,022.54x = 98,015,982.57
  5. Step 5: Solve for x
    x = 98,015,982.57/14,022.54
  6. Step 6: Final answer
    x = 6,989.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.