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Finding the Fourth Proportional to 14,882.22, 22,326.74 and 6,450.14

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Solution

The fourth proportional to 14,882.22, 22,326.74 and 6,450.14 is: 9,676.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,882.22 : 22,326.74 = 6,450.14 : x
  2. Step 2: Convert to fraction form
    14,882.22/22,326.74 = 6,450.14/x
  3. Step 3: Cross multiply
    14,882.22x = 22,326.74 × 6,450.14
  4. Step 4: Simplify right side
    14,882.22x = 144,010,454.86
  5. Step 5: Solve for x
    x = 144,010,454.86/14,882.22
  6. Step 6: Final answer
    x = 9,676.68

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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.