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Finding the Fourth Proportional to 14,732.88, 22,100 and 4,203.62

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Solution

The fourth proportional to 14,732.88, 22,100 and 4,203.62 is: 6,305.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,732.88 : 22,100 = 4,203.62 : x
  2. Step 2: Convert to fraction form
    14,732.88/22,100 = 4,203.62/x
  3. Step 3: Cross multiply
    14,732.88x = 22,100 × 4,203.62
  4. Step 4: Simplify right side
    14,732.88x = 92,900,002
  5. Step 5: Solve for x
    x = 92,900,002/14,732.88
  6. Step 6: Final answer
    x = 6,305.62

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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.