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Finding the Fourth Proportional to 23,219.37, 34,842.89 and 8,429.45

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Solution

The fourth proportional to 23,219.37, 34,842.89 and 8,429.45 is: 12,649.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,219.37 : 34,842.89 = 8,429.45 : x
  2. Step 2: Convert to fraction form
    23,219.37/34,842.89 = 8,429.45/x
  3. Step 3: Cross multiply
    23,219.37x = 34,842.89 × 8,429.45
  4. Step 4: Simplify right side
    23,219.37x = 293,706,399.11
  5. Step 5: Solve for x
    x = 293,706,399.11/23,219.37
  6. Step 6: Final answer
    x = 12,649.20

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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.