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Finding the Fourth Proportional to 14,841.90, 22,263.12 and 6,942.24

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Solution

The fourth proportional to 14,841.90, 22,263.12 and 6,942.24 is: 10,413.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,841.90 : 22,263.12 = 6,942.24 : x
  2. Step 2: Convert to fraction form
    14,841.90/22,263.12 = 6,942.24/x
  3. Step 3: Cross multiply
    14,841.90x = 22,263.12 × 6,942.24
  4. Step 4: Simplify right side
    14,841.90x = 154,555,922.19
  5. Step 5: Solve for x
    x = 154,555,922.19/14,841.90
  6. Step 6: Final answer
    x = 10,413.49

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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.