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Finding the Fourth Proportional to 14,771.94, 22,149.62 and 4,905.94

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Solution

The fourth proportional to 14,771.94, 22,149.62 and 4,905.94 is: 7,356.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,771.94 : 22,149.62 = 4,905.94 : x
  2. Step 2: Convert to fraction form
    14,771.94/22,149.62 = 4,905.94/x
  3. Step 3: Cross multiply
    14,771.94x = 22,149.62 × 4,905.94
  4. Step 4: Simplify right side
    14,771.94x = 108,664,706.74
  5. Step 5: Solve for x
    x = 108,664,706.74/14,771.94
  6. Step 6: Final answer
    x = 7,356.16

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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.