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Finding the Fourth Proportional to 22,303.50, 33,468.21 and 9,991.50

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Solution

The fourth proportional to 22,303.50, 33,468.21 and 9,991.50 is: 14,993.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,303.50 : 33,468.21 = 9,991.50 : x
  2. Step 2: Convert to fraction form
    22,303.50/33,468.21 = 9,991.50/x
  3. Step 3: Cross multiply
    22,303.50x = 33,468.21 × 9,991.50
  4. Step 4: Simplify right side
    22,303.50x = 334,397,620.22
  5. Step 5: Solve for x
    x = 334,397,620.22/22,303.50
  6. Step 6: Final answer
    x = 14,993.06

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1.5x scale

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.