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Finding the Fourth Proportional to 10,451.22, 15,676.83 and 9,842.64

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Solution

The fourth proportional to 10,451.22, 15,676.83 and 9,842.64 is: 14,763.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,451.22 : 15,676.83 = 9,842.64 : x
  2. Step 2: Convert to fraction form
    10,451.22/15,676.83 = 9,842.64/x
  3. Step 3: Cross multiply
    10,451.22x = 15,676.83 × 9,842.64
  4. Step 4: Simplify right side
    10,451.22x = 154,301,394.03
  5. Step 5: Solve for x
    x = 154,301,394.03/10,451.22
  6. Step 6: Final answer
    x = 14,763.96

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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.