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Finding the Fourth Proportional to 13,713.59, 20,570.37 and 4,948.49

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Solution

The fourth proportional to 13,713.59, 20,570.37 and 4,948.49 is: 7,422.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713.59 : 20,570.37 = 4,948.49 : x
  2. Step 2: Convert to fraction form
    13,713.59/20,570.37 = 4,948.49/x
  3. Step 3: Cross multiply
    13,713.59x = 20,570.37 × 4,948.49
  4. Step 4: Simplify right side
    13,713.59x = 101,792,270.24
  5. Step 5: Solve for x
    x = 101,792,270.24/13,713.59
  6. Step 6: Final answer
    x = 7,422.73

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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.