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Finding the Fourth Proportional to 14,803.21, 22,205.06 and 4,942.54

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Solution

The fourth proportional to 14,803.21, 22,205.06 and 4,942.54 is: 7,413.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,803.21 : 22,205.06 = 4,942.54 : x
  2. Step 2: Convert to fraction form
    14,803.21/22,205.06 = 4,942.54/x
  3. Step 3: Cross multiply
    14,803.21x = 22,205.06 × 4,942.54
  4. Step 4: Simplify right side
    14,803.21x = 109,749,397.25
  5. Step 5: Solve for x
    x = 109,749,397.25/14,803.21
  6. Step 6: Final answer
    x = 7,413.89

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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.