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Finding the Fourth Proportional to 22,376.64, 33,564.42 and 9,219.90

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Solution

The fourth proportional to 22,376.64, 33,564.42 and 9,219.90 is: 13,829.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,376.64 : 33,564.42 = 9,219.90 : x
  2. Step 2: Convert to fraction form
    22,376.64/33,564.42 = 9,219.90/x
  3. Step 3: Cross multiply
    22,376.64x = 33,564.42 × 9,219.90
  4. Step 4: Simplify right side
    22,376.64x = 309,460,595.96
  5. Step 5: Solve for x
    x = 309,460,595.96/22,376.64
  6. Step 6: Final answer
    x = 13,829.63

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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.