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Finding the Fourth Proportional to 14,496.75, 19,855.62 and 13,645.64

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Solution

The fourth proportional to 14,496.75, 19,855.62 and 13,645.64 is: 18,689.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,496.75 : 19,855.62 = 13,645.64 : x
  2. Step 2: Convert to fraction form
    14,496.75/19,855.62 = 13,645.64/x
  3. Step 3: Cross multiply
    14,496.75x = 19,855.62 × 13,645.64
  4. Step 4: Simplify right side
    14,496.75x = 270,942,574.27
  5. Step 5: Solve for x
    x = 270,942,574.27/14,496.75
  6. Step 6: Final answer
    x = 18,689.89

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.