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Finding the Fourth Proportional to 14,385, 21,577.50 and 3,996.75

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Solution

The fourth proportional to 14,385, 21,577.50 and 3,996.75 is: 5,995.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,385 : 21,577.50 = 3,996.75 : x
  2. Step 2: Convert to fraction form
    14,385/21,577.50 = 3,996.75/x
  3. Step 3: Cross multiply
    14,385x = 21,577.50 × 3,996.75
  4. Step 4: Simplify right side
    14,385x = 86,239,873.13
  5. Step 5: Solve for x
    x = 86,239,873.13/14,385
  6. Step 6: Final answer
    x = 5,995.13

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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.