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Finding the Fourth Proportional to 14,308.63, 19,746.81 and 8,021

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Solution

The fourth proportional to 14,308.63, 19,746.81 and 8,021 is: 11,069.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,308.63 : 19,746.81 = 8,021 : x
  2. Step 2: Convert to fraction form
    14,308.63/19,746.81 = 8,021/x
  3. Step 3: Cross multiply
    14,308.63x = 19,746.81 × 8,021
  4. Step 4: Simplify right side
    14,308.63x = 158,389,163.01
  5. Step 5: Solve for x
    x = 158,389,163.01/14,308.63
  6. Step 6: Final answer
    x = 11,069.48

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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.