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Finding the Fourth Proportional to 19,548.38, 29,322.56 and 7,858.86

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Solution

The fourth proportional to 19,548.38, 29,322.56 and 7,858.86 is: 11,788.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,548.38 : 29,322.56 = 7,858.86 : x
  2. Step 2: Convert to fraction form
    19,548.38/29,322.56 = 7,858.86/x
  3. Step 3: Cross multiply
    19,548.38x = 29,322.56 × 7,858.86
  4. Step 4: Simplify right side
    19,548.38x = 230,441,893.88
  5. Step 5: Solve for x
    x = 230,441,893.88/19,548.38
  6. Step 6: Final answer
    x = 11,788.29

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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.