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Finding the Fourth Proportional to 15,969.50, 22,051.86 and 10,011.44

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Solution

The fourth proportional to 15,969.50, 22,051.86 and 10,011.44 is: 13,824.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,969.50 : 22,051.86 = 10,011.44 : x
  2. Step 2: Convert to fraction form
    15,969.50/22,051.86 = 10,011.44/x
  3. Step 3: Cross multiply
    15,969.50x = 22,051.86 × 10,011.44
  4. Step 4: Simplify right side
    15,969.50x = 220,770,873.28
  5. Step 5: Solve for x
    x = 220,770,873.28/15,969.50
  6. Step 6: Final answer
    x = 13,824.53

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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.