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Finding the Fourth Proportional to 14,015.24, 21,022.86 and 4,781

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Solution

The fourth proportional to 14,015.24, 21,022.86 and 4,781 is: 7,171.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,015.24 : 21,022.86 = 4,781 : x
  2. Step 2: Convert to fraction form
    14,015.24/21,022.86 = 4,781/x
  3. Step 3: Cross multiply
    14,015.24x = 21,022.86 × 4,781
  4. Step 4: Simplify right side
    14,015.24x = 100,510,293.66
  5. Step 5: Solve for x
    x = 100,510,293.66/14,015.24
  6. Step 6: Final answer
    x = 7,171.50

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Why These Related Problems?

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