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Finding the Fourth Proportional to 14,765.35, 20,371.06 and 9,463.09

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Solution

The fourth proportional to 14,765.35, 20,371.06 and 9,463.09 is: 13,055.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,765.35 : 20,371.06 = 9,463.09 : x
  2. Step 2: Convert to fraction form
    14,765.35/20,371.06 = 9,463.09/x
  3. Step 3: Cross multiply
    14,765.35x = 20,371.06 × 9,463.09
  4. Step 4: Simplify right side
    14,765.35x = 192,773,174.18
  5. Step 5: Solve for x
    x = 192,773,174.18/14,765.35
  6. Step 6: Final answer
    x = 13,055.78

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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.