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Finding the Fourth Proportional to 14,420.37, 21,632.09 and 6,101.22

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Solution

The fourth proportional to 14,420.37, 21,632.09 and 6,101.22 is: 9,152.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,420.37 : 21,632.09 = 6,101.22 : x
  2. Step 2: Convert to fraction form
    14,420.37/21,632.09 = 6,101.22/x
  3. Step 3: Cross multiply
    14,420.37x = 21,632.09 × 6,101.22
  4. Step 4: Simplify right side
    14,420.37x = 131,982,236.52
  5. Step 5: Solve for x
    x = 131,982,236.52/14,420.37
  6. Step 6: Final answer
    x = 9,152.49

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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.