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Finding the Fourth Proportional to 13,809.81, 20,723.04 and 4,924.46

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Solution

The fourth proportional to 13,809.81, 20,723.04 and 4,924.46 is: 7,389.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,809.81 : 20,723.04 = 4,924.46 : x
  2. Step 2: Convert to fraction form
    13,809.81/20,723.04 = 4,924.46/x
  3. Step 3: Cross multiply
    13,809.81x = 20,723.04 × 4,924.46
  4. Step 4: Simplify right side
    13,809.81x = 102,049,833.37
  5. Step 5: Solve for x
    x = 102,049,833.37/13,809.81
  6. Step 6: Final answer
    x = 7,389.66

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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.