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Finding the Fourth Proportional to 23,404.51, 35,112.91 and 8,413.14

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Solution

The fourth proportional to 23,404.51, 35,112.91 and 8,413.14 is: 12,621.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,404.51 : 35,112.91 = 8,413.14 : x
  2. Step 2: Convert to fraction form
    23,404.51/35,112.91 = 8,413.14/x
  3. Step 3: Cross multiply
    23,404.51x = 35,112.91 × 8,413.14
  4. Step 4: Simplify right side
    23,404.51x = 295,409,827.64
  5. Step 5: Solve for x
    x = 295,409,827.64/23,404.51
  6. Step 6: Final answer
    x = 12,621.92

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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.