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Finding the Fourth Proportional to 22,106.42, 33,164.62 and 7,315.30

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Solution

The fourth proportional to 22,106.42, 33,164.62 and 7,315.30 is: 10,974.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,106.42 : 33,164.62 = 7,315.30 : x
  2. Step 2: Convert to fraction form
    22,106.42/33,164.62 = 7,315.30/x
  3. Step 3: Cross multiply
    22,106.42x = 33,164.62 × 7,315.30
  4. Step 4: Simplify right side
    22,106.42x = 242,609,144.69
  5. Step 5: Solve for x
    x = 242,609,144.69/22,106.42
  6. Step 6: Final answer
    x = 10,974.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.