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Finding the Fourth Proportional to 13,713.57, 20,570.36 and 4,828.41

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Solution

The fourth proportional to 13,713.57, 20,570.36 and 4,828.41 is: 7,242.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713.57 : 20,570.36 = 4,828.41 : x
  2. Step 2: Convert to fraction form
    13,713.57/20,570.36 = 4,828.41/x
  3. Step 3: Cross multiply
    13,713.57x = 20,570.36 × 4,828.41
  4. Step 4: Simplify right side
    13,713.57x = 99,322,107.79
  5. Step 5: Solve for x
    x = 99,322,107.79/13,713.57
  6. Step 6: Final answer
    x = 7,242.62

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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.