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Finding the Fourth Proportional to 19,853.49, 29,770.80 and 11,535.90

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Solution

The fourth proportional to 19,853.49, 29,770.80 and 11,535.90 is: 17,298.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,853.49 : 29,770.80 = 11,535.90 : x
  2. Step 2: Convert to fraction form
    19,853.49/29,770.80 = 11,535.90/x
  3. Step 3: Cross multiply
    19,853.49x = 29,770.80 × 11,535.90
  4. Step 4: Simplify right side
    19,853.49x = 343,432,971.72
  5. Step 5: Solve for x
    x = 343,432,971.72/19,853.49
  6. Step 6: Final answer
    x = 17,298.37

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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.