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Finding the Fourth Proportional to 14,676.96, 22,023.36 and 9,679.20

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Solution

The fourth proportional to 14,676.96, 22,023.36 and 9,679.20 is: 14,524.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,676.96 : 22,023.36 = 9,679.20 : x
  2. Step 2: Convert to fraction form
    14,676.96/22,023.36 = 9,679.20/x
  3. Step 3: Cross multiply
    14,676.96x = 22,023.36 × 9,679.20
  4. Step 4: Simplify right side
    14,676.96x = 213,168,506.11
  5. Step 5: Solve for x
    x = 213,168,506.11/14,676.96
  6. Step 6: Final answer
    x = 14,524.02

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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.