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Finding the Fourth Proportional to 21,407.69, 32,116.41 and 11,546.75

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Solution

The fourth proportional to 21,407.69, 32,116.41 and 11,546.75 is: 17,322.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,407.69 : 32,116.41 = 11,546.75 : x
  2. Step 2: Convert to fraction form
    21,407.69/32,116.41 = 11,546.75/x
  3. Step 3: Cross multiply
    21,407.69x = 32,116.41 × 11,546.75
  4. Step 4: Simplify right side
    21,407.69x = 370,839,996.59
  5. Step 5: Solve for x
    x = 370,839,996.59/21,407.69
  6. Step 6: Final answer
    x = 17,322.75

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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.