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Finding the Fourth Proportional to 29,098.36, 43,650.36 and 11,564.28

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Solution

The fourth proportional to 29,098.36, 43,650.36 and 11,564.28 is: 17,347.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,098.36 : 43,650.36 = 11,564.28 : x
  2. Step 2: Convert to fraction form
    29,098.36/43,650.36 = 11,564.28/x
  3. Step 3: Cross multiply
    29,098.36x = 43,650.36 × 11,564.28
  4. Step 4: Simplify right side
    29,098.36x = 504,784,985.14
  5. Step 5: Solve for x
    x = 504,784,985.14/29,098.36
  6. Step 6: Final answer
    x = 17,347.54

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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.