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Finding the Fourth Proportional to 22,011.20, 33,016.80 and 11,643.20

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Solution

The fourth proportional to 22,011.20, 33,016.80 and 11,643.20 is: 17,464.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,011.20 : 33,016.80 = 11,643.20 : x
  2. Step 2: Convert to fraction form
    22,011.20/33,016.80 = 11,643.20/x
  3. Step 3: Cross multiply
    22,011.20x = 33,016.80 × 11,643.20
  4. Step 4: Simplify right side
    22,011.20x = 384,421,205.76
  5. Step 5: Solve for x
    x = 384,421,205.76/22,011.20
  6. Step 6: Final answer
    x = 17,464.80

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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.