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Finding the Fourth Proportional to 22,157.42, 33,242.61 and 8,307.50

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Solution

The fourth proportional to 22,157.42, 33,242.61 and 8,307.50 is: 12,463.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,157.42 : 33,242.61 = 8,307.50 : x
  2. Step 2: Convert to fraction form
    22,157.42/33,242.61 = 8,307.50/x
  3. Step 3: Cross multiply
    22,157.42x = 33,242.61 × 8,307.50
  4. Step 4: Simplify right side
    22,157.42x = 276,162,982.58
  5. Step 5: Solve for x
    x = 276,162,982.58/22,157.42
  6. Step 6: Final answer
    x = 12,463.68

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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.