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Finding the Fourth Proportional to 14,533.25, 21,800.08 and 4,145

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Solution

The fourth proportional to 14,533.25, 21,800.08 and 4,145 is: 6,217.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,533.25 : 21,800.08 = 4,145 : x
  2. Step 2: Convert to fraction form
    14,533.25/21,800.08 = 4,145/x
  3. Step 3: Cross multiply
    14,533.25x = 21,800.08 × 4,145
  4. Step 4: Simplify right side
    14,533.25x = 90,361,331.60
  5. Step 5: Solve for x
    x = 90,361,331.60/14,533.25
  6. Step 6: Final answer
    x = 6,217.56

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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.