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Finding the Fourth Proportional to 14,735.54, 22,103.54 and 8,203.25

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Solution

The fourth proportional to 14,735.54, 22,103.54 and 8,203.25 is: 12,304.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,735.54 : 22,103.54 = 8,203.25 : x
  2. Step 2: Convert to fraction form
    14,735.54/22,103.54 = 8,203.25/x
  3. Step 3: Cross multiply
    14,735.54x = 22,103.54 × 8,203.25
  4. Step 4: Simplify right side
    14,735.54x = 181,320,774.50
  5. Step 5: Solve for x
    x = 181,320,774.50/14,735.54
  6. Step 6: Final answer
    x = 12,304.99

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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.