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Finding the Fourth Proportional to 14,383.36, 21,574.92 and 3,709.69

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Solution

The fourth proportional to 14,383.36, 21,574.92 and 3,709.69 is: 5,564.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,383.36 : 21,574.92 = 3,709.69 : x
  2. Step 2: Convert to fraction form
    14,383.36/21,574.92 = 3,709.69/x
  3. Step 3: Cross multiply
    14,383.36x = 21,574.92 × 3,709.69
  4. Step 4: Simplify right side
    14,383.36x = 80,036,264.97
  5. Step 5: Solve for x
    x = 80,036,264.97/14,383.36
  6. Step 6: Final answer
    x = 5,564.50

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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.