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Finding the Fourth Proportional to 14,765.43, 22,147.84 and 4,904.80

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Solution

The fourth proportional to 14,765.43, 22,147.84 and 4,904.80 is: 7,357.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,765.43 : 22,147.84 = 4,904.80 : x
  2. Step 2: Convert to fraction form
    14,765.43/22,147.84 = 4,904.80/x
  3. Step 3: Cross multiply
    14,765.43x = 22,147.84 × 4,904.80
  4. Step 4: Simplify right side
    14,765.43x = 108,630,676.39
  5. Step 5: Solve for x
    x = 108,630,676.39/14,765.43
  6. Step 6: Final answer
    x = 7,357.09

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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.