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Finding the Fourth Proportional to 14,981.76, 22,457.76 and 8,413.44

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Solution

The fourth proportional to 14,981.76, 22,457.76 and 8,413.44 is: 12,611.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,981.76 : 22,457.76 = 8,413.44 : x
  2. Step 2: Convert to fraction form
    14,981.76/22,457.76 = 8,413.44/x
  3. Step 3: Cross multiply
    14,981.76x = 22,457.76 × 8,413.44
  4. Step 4: Simplify right side
    14,981.76x = 188,947,016.29
  5. Step 5: Solve for x
    x = 188,947,016.29/14,981.76
  6. Step 6: Final answer
    x = 12,611.80

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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.