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Finding the Fourth Proportional to 16,506.98, 22,782.55 and 9,796.31

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Solution

The fourth proportional to 16,506.98, 22,782.55 and 9,796.31 is: 13,520.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,506.98 : 22,782.55 = 9,796.31 : x
  2. Step 2: Convert to fraction form
    16,506.98/22,782.55 = 9,796.31/x
  3. Step 3: Cross multiply
    16,506.98x = 22,782.55 × 9,796.31
  4. Step 4: Simplify right side
    16,506.98x = 223,184,922.39
  5. Step 5: Solve for x
    x = 223,184,922.39/16,506.98
  6. Step 6: Final answer
    x = 13,520.64

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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.