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Finding the Fourth Proportional to 23,216.52, 34,824.36 and 7,421.43

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Solution

The fourth proportional to 23,216.52, 34,824.36 and 7,421.43 is: 11,132.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,216.52 : 34,824.36 = 7,421.43 : x
  2. Step 2: Convert to fraction form
    23,216.52/34,824.36 = 7,421.43/x
  3. Step 3: Cross multiply
    23,216.52x = 34,824.36 × 7,421.43
  4. Step 4: Simplify right side
    23,216.52x = 258,446,550.03
  5. Step 5: Solve for x
    x = 258,446,550.03/23,216.52
  6. Step 6: Final answer
    x = 11,132.01

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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.