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Finding the Fourth Proportional to 19,412.82, 29,071.40 and 11,072.24

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Solution

The fourth proportional to 19,412.82, 29,071.40 and 11,072.24 is: 16,581.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,412.82 : 29,071.40 = 11,072.24 : x
  2. Step 2: Convert to fraction form
    19,412.82/29,071.40 = 11,072.24/x
  3. Step 3: Cross multiply
    19,412.82x = 29,071.40 × 11,072.24
  4. Step 4: Simplify right side
    19,412.82x = 321,885,517.94
  5. Step 5: Solve for x
    x = 321,885,517.94/19,412.82
  6. Step 6: Final answer
    x = 16,581.08

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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.