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Finding the Fourth Proportional to 16,222, 24,334.56 and 7,459.36

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Solution

The fourth proportional to 16,222, 24,334.56 and 7,459.36 is: 11,189.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,222 : 24,334.56 = 7,459.36 : x
  2. Step 2: Convert to fraction form
    16,222/24,334.56 = 7,459.36/x
  3. Step 3: Cross multiply
    16,222x = 24,334.56 × 7,459.36
  4. Step 4: Simplify right side
    16,222x = 181,520,243.48
  5. Step 5: Solve for x
    x = 181,520,243.48/16,222
  6. Step 6: Final answer
    x = 11,189.76

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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.