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Finding the Fourth Proportional to 11,621.70, 17,435.27 and 3,830.50

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Solution

The fourth proportional to 11,621.70, 17,435.27 and 3,830.50 is: 5,746.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,621.70 : 17,435.27 = 3,830.50 : x
  2. Step 2: Convert to fraction form
    11,621.70/17,435.27 = 3,830.50/x
  3. Step 3: Cross multiply
    11,621.70x = 17,435.27 × 3,830.50
  4. Step 4: Simplify right side
    11,621.70x = 66,785,801.74
  5. Step 5: Solve for x
    x = 66,785,801.74/11,621.70
  6. Step 6: Final answer
    x = 5,746.65

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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.