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Finding the Fourth Proportional to 14,410.89, 19,903.41 and 9,686.97

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Solution

The fourth proportional to 14,410.89, 19,903.41 and 9,686.97 is: 13,379.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,410.89 : 19,903.41 = 9,686.97 : x
  2. Step 2: Convert to fraction form
    14,410.89/19,903.41 = 9,686.97/x
  3. Step 3: Cross multiply
    14,410.89x = 19,903.41 × 9,686.97
  4. Step 4: Simplify right side
    14,410.89x = 192,803,735.57
  5. Step 5: Solve for x
    x = 192,803,735.57/14,410.89
  6. Step 6: Final answer
    x = 13,379.03

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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.