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Finding the Fourth Proportional to 14,744.56, 20,347.19 and 8,030.31

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Solution

The fourth proportional to 14,744.56, 20,347.19 and 8,030.31 is: 11,081.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,744.56 : 20,347.19 = 8,030.31 : x
  2. Step 2: Convert to fraction form
    14,744.56/20,347.19 = 8,030.31/x
  3. Step 3: Cross multiply
    14,744.56x = 20,347.19 × 8,030.31
  4. Step 4: Simplify right side
    14,744.56x = 163,394,212.54
  5. Step 5: Solve for x
    x = 163,394,212.54/14,744.56
  6. Step 6: Final answer
    x = 11,081.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.