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Finding the Fourth Proportional to 14,144.96, 19,529.04 and 9,676.16

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Solution

The fourth proportional to 14,144.96, 19,529.04 and 9,676.16 is: 13,359.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,144.96 : 19,529.04 = 9,676.16 : x
  2. Step 2: Convert to fraction form
    14,144.96/19,529.04 = 9,676.16/x
  3. Step 3: Cross multiply
    14,144.96x = 19,529.04 × 9,676.16
  4. Step 4: Simplify right side
    14,144.96x = 188,966,115.69
  5. Step 5: Solve for x
    x = 188,966,115.69/14,144.96
  6. Step 6: Final answer
    x = 13,359.25

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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.