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Finding the Fourth Proportional to 22,321.89, 33,482.80 and 9,164.99

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Solution

The fourth proportional to 22,321.89, 33,482.80 and 9,164.99 is: 13,747.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,321.89 : 33,482.80 = 9,164.99 : x
  2. Step 2: Convert to fraction form
    22,321.89/33,482.80 = 9,164.99/x
  3. Step 3: Cross multiply
    22,321.89x = 33,482.80 × 9,164.99
  4. Step 4: Simplify right side
    22,321.89x = 306,869,527.17
  5. Step 5: Solve for x
    x = 306,869,527.17/22,321.89
  6. Step 6: Final answer
    x = 13,747.47

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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.