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Finding the Fourth Proportional to 23,718.12, 35,573.07 and 8,135.74

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Solution

The fourth proportional to 23,718.12, 35,573.07 and 8,135.74 is: 12,202.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,718.12 : 35,573.07 = 8,135.74 : x
  2. Step 2: Convert to fraction form
    23,718.12/35,573.07 = 8,135.74/x
  3. Step 3: Cross multiply
    23,718.12x = 35,573.07 × 8,135.74
  4. Step 4: Simplify right side
    23,718.12x = 289,413,323.50
  5. Step 5: Solve for x
    x = 289,413,323.50/23,718.12
  6. Step 6: Final answer
    x = 12,202.21

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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.