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Finding the Fourth Proportional to 19,796.34, 29,695.42 and 11,024.64

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Solution

The fourth proportional to 19,796.34, 29,695.42 and 11,024.64 is: 16,537.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,796.34 : 29,695.42 = 11,024.64 : x
  2. Step 2: Convert to fraction form
    19,796.34/29,695.42 = 11,024.64/x
  3. Step 3: Cross multiply
    19,796.34x = 29,695.42 × 11,024.64
  4. Step 4: Simplify right side
    19,796.34x = 327,381,315.15
  5. Step 5: Solve for x
    x = 327,381,315.15/19,796.34
  6. Step 6: Final answer
    x = 16,537.47

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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.