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Finding the Fourth Proportional to 14,471.74, 21,707.84 and 4,619.31

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Solution

The fourth proportional to 14,471.74, 21,707.84 and 4,619.31 is: 6,929.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,471.74 : 21,707.84 = 4,619.31 : x
  2. Step 2: Convert to fraction form
    14,471.74/21,707.84 = 4,619.31/x
  3. Step 3: Cross multiply
    14,471.74x = 21,707.84 × 4,619.31
  4. Step 4: Simplify right side
    14,471.74x = 100,275,242.39
  5. Step 5: Solve for x
    x = 100,275,242.39/14,471.74
  6. Step 6: Final answer
    x = 6,929.04

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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.