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Finding the Fourth Proportional to 14,413.68, 19,891.17 and 8,124.84

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Solution

The fourth proportional to 14,413.68, 19,891.17 and 8,124.84 is: 11,212.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,413.68 : 19,891.17 = 8,124.84 : x
  2. Step 2: Convert to fraction form
    14,413.68/19,891.17 = 8,124.84/x
  3. Step 3: Cross multiply
    14,413.68x = 19,891.17 × 8,124.84
  4. Step 4: Simplify right side
    14,413.68x = 161,612,573.66
  5. Step 5: Solve for x
    x = 161,612,573.66/14,413.68
  6. Step 6: Final answer
    x = 11,212.44

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1.5x scale

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.