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Finding the Fourth Proportional to 13,807.17, 20,713.28 and 5,048.37

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Solution

The fourth proportional to 13,807.17, 20,713.28 and 5,048.37 is: 7,573.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,807.17 : 20,713.28 = 5,048.37 : x
  2. Step 2: Convert to fraction form
    13,807.17/20,713.28 = 5,048.37/x
  3. Step 3: Cross multiply
    13,807.17x = 20,713.28 × 5,048.37
  4. Step 4: Simplify right side
    13,807.17x = 104,568,276.11
  5. Step 5: Solve for x
    x = 104,568,276.11/13,807.17
  6. Step 6: Final answer
    x = 7,573.48

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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.