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Finding the Fourth Proportional to 22,602, 33,903.40 and 8,568.56

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Solution

The fourth proportional to 22,602, 33,903.40 and 8,568.56 is: 12,852.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,602 : 33,903.40 = 8,568.56 : x
  2. Step 2: Convert to fraction form
    22,602/33,903.40 = 8,568.56/x
  3. Step 3: Cross multiply
    22,602x = 33,903.40 × 8,568.56
  4. Step 4: Simplify right side
    22,602x = 290,503,317.10
  5. Step 5: Solve for x
    x = 290,503,317.10/22,602
  6. Step 6: Final answer
    x = 12,852.99

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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.