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Finding the Fourth Proportional to 19,892.10, 29,836.59 and 11,566.80

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Solution

The fourth proportional to 19,892.10, 29,836.59 and 11,566.80 is: 17,349.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,892.10 : 29,836.59 = 11,566.80 : x
  2. Step 2: Convert to fraction form
    19,892.10/29,836.59 = 11,566.80/x
  3. Step 3: Cross multiply
    19,892.10x = 29,836.59 × 11,566.80
  4. Step 4: Simplify right side
    19,892.10x = 345,113,869.21
  5. Step 5: Solve for x
    x = 345,113,869.21/19,892.10
  6. Step 6: Final answer
    x = 17,349.29

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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.