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Finding the Fourth Proportional to 17,006.14, 23,443.75 and 11,885.75

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Solution

The fourth proportional to 17,006.14, 23,443.75 and 11,885.75 is: 16,385.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,006.14 : 23,443.75 = 11,885.75 : x
  2. Step 2: Convert to fraction form
    17,006.14/23,443.75 = 11,885.75/x
  3. Step 3: Cross multiply
    17,006.14x = 23,443.75 × 11,885.75
  4. Step 4: Simplify right side
    17,006.14x = 278,646,602.13
  5. Step 5: Solve for x
    x = 278,646,602.13/17,006.14
  6. Step 6: Final answer
    x = 16,385.06

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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.