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Finding the Fourth Proportional to 12,254.22, 16,879.32 and 9,596.88

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Solution

The fourth proportional to 12,254.22, 16,879.32 and 9,596.88 is: 13,219.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,254.22 : 16,879.32 = 9,596.88 : x
  2. Step 2: Convert to fraction form
    12,254.22/16,879.32 = 9,596.88/x
  3. Step 3: Cross multiply
    12,254.22x = 16,879.32 × 9,596.88
  4. Step 4: Simplify right side
    12,254.22x = 161,988,808.52
  5. Step 5: Solve for x
    x = 161,988,808.52/12,254.22
  6. Step 6: Final answer
    x = 13,219.02

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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.