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Finding the Fourth Proportional to 14,284.31, 21,413.33 and 4,922.10

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Solution

The fourth proportional to 14,284.31, 21,413.33 and 4,922.10 is: 7,378.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,284.31 : 21,413.33 = 4,922.10 : x
  2. Step 2: Convert to fraction form
    14,284.31/21,413.33 = 4,922.10/x
  3. Step 3: Cross multiply
    14,284.31x = 21,413.33 × 4,922.10
  4. Step 4: Simplify right side
    14,284.31x = 105,398,545.44
  5. Step 5: Solve for x
    x = 105,398,545.44/14,284.31
  6. Step 6: Final answer
    x = 7,378.63

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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.