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Finding the Fourth Proportional to 16,260.30, 22,439.64 and 9,969

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Solution

The fourth proportional to 16,260.30, 22,439.64 and 9,969 is: 13,757.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,260.30 : 22,439.64 = 9,969 : x
  2. Step 2: Convert to fraction form
    16,260.30/22,439.64 = 9,969/x
  3. Step 3: Cross multiply
    16,260.30x = 22,439.64 × 9,969
  4. Step 4: Simplify right side
    16,260.30x = 223,700,771.16
  5. Step 5: Solve for x
    x = 223,700,771.16/16,260.30
  6. Step 6: Final answer
    x = 13,757.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.