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Finding the Fourth Proportional to 14,245.82, 19,658.22 and 7,872.34

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Solution

The fourth proportional to 14,245.82, 19,658.22 and 7,872.34 is: 10,863.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,245.82 : 19,658.22 = 7,872.34 : x
  2. Step 2: Convert to fraction form
    14,245.82/19,658.22 = 7,872.34/x
  3. Step 3: Cross multiply
    14,245.82x = 19,658.22 × 7,872.34
  4. Step 4: Simplify right side
    14,245.82x = 154,756,191.63
  5. Step 5: Solve for x
    x = 154,756,191.63/14,245.82
  6. Step 6: Final answer
    x = 10,863.27

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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.