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Finding the Fourth Proportional to 16,243.26, 24,374.60 and 9,322.62

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Solution

The fourth proportional to 16,243.26, 24,374.60 and 9,322.62 is: 13,989.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,243.26 : 24,374.60 = 9,322.62 : x
  2. Step 2: Convert to fraction form
    16,243.26/24,374.60 = 9,322.62/x
  3. Step 3: Cross multiply
    16,243.26x = 24,374.60 × 9,322.62
  4. Step 4: Simplify right side
    16,243.26x = 227,235,133.45
  5. Step 5: Solve for x
    x = 227,235,133.45/16,243.26
  6. Step 6: Final answer
    x = 13,989.50

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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.