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Finding the Fourth Proportional to 14,300.75, 21,461.15 and 9,629.69

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Solution

The fourth proportional to 14,300.75, 21,461.15 and 9,629.69 is: 14,451.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,300.75 : 21,461.15 = 9,629.69 : x
  2. Step 2: Convert to fraction form
    14,300.75/21,461.15 = 9,629.69/x
  3. Step 3: Cross multiply
    14,300.75x = 21,461.15 × 9,629.69
  4. Step 4: Simplify right side
    14,300.75x = 206,664,138.31
  5. Step 5: Solve for x
    x = 206,664,138.31/14,300.75
  6. Step 6: Final answer
    x = 14,451.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.