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Finding the Fourth Proportional to 12,214.12, 18,321.18 and 9,779.26

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Solution

The fourth proportional to 12,214.12, 18,321.18 and 9,779.26 is: 14,668.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,214.12 : 18,321.18 = 9,779.26 : x
  2. Step 2: Convert to fraction form
    12,214.12/18,321.18 = 9,779.26/x
  3. Step 3: Cross multiply
    12,214.12x = 18,321.18 × 9,779.26
  4. Step 4: Simplify right side
    12,214.12x = 179,167,582.73
  5. Step 5: Solve for x
    x = 179,167,582.73/12,214.12
  6. Step 6: Final answer
    x = 14,668.89

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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.