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Finding the Fourth Proportional to 17,096.81, 25,643.12 and 4,615.88

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Solution

The fourth proportional to 17,096.81, 25,643.12 and 4,615.88 is: 6,923.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,096.81 : 25,643.12 = 4,615.88 : x
  2. Step 2: Convert to fraction form
    17,096.81/25,643.12 = 4,615.88/x
  3. Step 3: Cross multiply
    17,096.81x = 25,643.12 × 4,615.88
  4. Step 4: Simplify right side
    17,096.81x = 118,365,413.45
  5. Step 5: Solve for x
    x = 118,365,413.45/17,096.81
  6. Step 6: Final answer
    x = 6,923.25

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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.