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Finding the Fourth Proportional to 23,602.50, 35,403.75 and 9,751.86

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Solution

The fourth proportional to 23,602.50, 35,403.75 and 9,751.86 is: 14,627.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,602.50 : 35,403.75 = 9,751.86 : x
  2. Step 2: Convert to fraction form
    23,602.50/35,403.75 = 9,751.86/x
  3. Step 3: Cross multiply
    23,602.50x = 35,403.75 × 9,751.86
  4. Step 4: Simplify right side
    23,602.50x = 345,252,413.48
  5. Step 5: Solve for x
    x = 345,252,413.48/23,602.50
  6. Step 6: Final answer
    x = 14,627.79

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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.