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Finding the Fourth Proportional to 16,222.36, 24,321.86 and 9,969.46

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Solution

The fourth proportional to 16,222.36, 24,321.86 and 9,969.46 is: 14,947.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,222.36 : 24,321.86 = 9,969.46 : x
  2. Step 2: Convert to fraction form
    16,222.36/24,321.86 = 9,969.46/x
  3. Step 3: Cross multiply
    16,222.36x = 24,321.86 × 9,969.46
  4. Step 4: Simplify right side
    16,222.36x = 242,475,663.86
  5. Step 5: Solve for x
    x = 242,475,663.86/16,222.36
  6. Step 6: Final answer
    x = 14,947.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.