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Finding the Fourth Proportional to 14,709.64, 20,293.93 and 9,676.57

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Solution

The fourth proportional to 14,709.64, 20,293.93 and 9,676.57 is: 13,350.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,709.64 : 20,293.93 = 9,676.57 : x
  2. Step 2: Convert to fraction form
    14,709.64/20,293.93 = 9,676.57/x
  3. Step 3: Cross multiply
    14,709.64x = 20,293.93 × 9,676.57
  4. Step 4: Simplify right side
    14,709.64x = 196,375,634.22
  5. Step 5: Solve for x
    x = 196,375,634.22/14,709.64
  6. Step 6: Final answer
    x = 13,350.13

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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.