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Finding the Fourth Proportional to 14,827.50, 22,241.25 and 4,439.25

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Solution

The fourth proportional to 14,827.50, 22,241.25 and 4,439.25 is: 6,658.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,827.50 : 22,241.25 = 4,439.25 : x
  2. Step 2: Convert to fraction form
    14,827.50/22,241.25 = 4,439.25/x
  3. Step 3: Cross multiply
    14,827.50x = 22,241.25 × 4,439.25
  4. Step 4: Simplify right side
    14,827.50x = 98,734,469.06
  5. Step 5: Solve for x
    x = 98,734,469.06/14,827.50
  6. Step 6: Final answer
    x = 6,658.88

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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.