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Finding the Fourth Proportional to 14,496.25, 19,854.93 and 13,645.14

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Solution

The fourth proportional to 14,496.25, 19,854.93 and 13,645.14 is: 18,689.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,496.25 : 19,854.93 = 13,645.14 : x
  2. Step 2: Convert to fraction form
    14,496.25/19,854.93 = 13,645.14/x
  3. Step 3: Cross multiply
    14,496.25x = 19,854.93 × 13,645.14
  4. Step 4: Simplify right side
    14,496.25x = 270,923,299.54
  5. Step 5: Solve for x
    x = 270,923,299.54/14,496.25
  6. Step 6: Final answer
    x = 18,689.20

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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.