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Finding the Fourth Proportional to 19,688.59, 29,540.27 and 11,796.63

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Solution

The fourth proportional to 19,688.59, 29,540.27 and 11,796.63 is: 17,699.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,688.59 : 29,540.27 = 11,796.63 : x
  2. Step 2: Convert to fraction form
    19,688.59/29,540.27 = 11,796.63/x
  3. Step 3: Cross multiply
    19,688.59x = 29,540.27 × 11,796.63
  4. Step 4: Simplify right side
    19,688.59x = 348,475,635.29
  5. Step 5: Solve for x
    x = 348,475,635.29/19,688.59
  6. Step 6: Final answer
    x = 17,699.37

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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.