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Finding the Fourth Proportional to 23,622.50, 35,435.37 and 7,827.50

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Solution

The fourth proportional to 23,622.50, 35,435.37 and 7,827.50 is: 11,741.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,622.50 : 35,435.37 = 7,827.50 : x
  2. Step 2: Convert to fraction form
    23,622.50/35,435.37 = 7,827.50/x
  3. Step 3: Cross multiply
    23,622.50x = 35,435.37 × 7,827.50
  4. Step 4: Simplify right side
    23,622.50x = 277,370,358.68
  5. Step 5: Solve for x
    x = 277,370,358.68/23,622.50
  6. Step 6: Final answer
    x = 11,741.79

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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.