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Finding the Fourth Proportional to 14,771.49, 22,162.49 and 9,078.92

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Solution

The fourth proportional to 14,771.49, 22,162.49 and 9,078.92 is: 13,621.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,771.49 : 22,162.49 = 9,078.92 : x
  2. Step 2: Convert to fraction form
    14,771.49/22,162.49 = 9,078.92/x
  3. Step 3: Cross multiply
    14,771.49x = 22,162.49 × 9,078.92
  4. Step 4: Simplify right side
    14,771.49x = 201,211,317.50
  5. Step 5: Solve for x
    x = 201,211,317.50/14,771.49
  6. Step 6: Final answer
    x = 13,621.60

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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.