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Finding the Fourth Proportional to 29,709.22, 40,997.53 and 17,779.14

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Solution

The fourth proportional to 29,709.22, 40,997.53 and 17,779.14 is: 24,534.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,709.22 : 40,997.53 = 17,779.14 : x
  2. Step 2: Convert to fraction form
    29,709.22/40,997.53 = 17,779.14/x
  3. Step 3: Cross multiply
    29,709.22x = 40,997.53 × 17,779.14
  4. Step 4: Simplify right side
    29,709.22x = 728,900,825.52
  5. Step 5: Solve for x
    x = 728,900,825.52/29,709.22
  6. Step 6: Final answer
    x = 24,534.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.