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Finding the Fourth Proportional to 14,065.75, 19,413.17 and 8,476.75

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Solution

The fourth proportional to 14,065.75, 19,413.17 and 8,476.75 is: 11,699.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,065.75 : 19,413.17 = 8,476.75 : x
  2. Step 2: Convert to fraction form
    14,065.75/19,413.17 = 8,476.75/x
  3. Step 3: Cross multiply
    14,065.75x = 19,413.17 × 8,476.75
  4. Step 4: Simplify right side
    14,065.75x = 164,560,588.80
  5. Step 5: Solve for x
    x = 164,560,588.80/14,065.75
  6. Step 6: Final answer
    x = 11,699.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.