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Finding the Fourth Proportional to 19,549.15, 29,316.42 and 7,858.42

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Solution

The fourth proportional to 19,549.15, 29,316.42 and 7,858.42 is: 11,784.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,549.15 : 29,316.42 = 7,858.42 : x
  2. Step 2: Convert to fraction form
    19,549.15/29,316.42 = 7,858.42/x
  3. Step 3: Cross multiply
    19,549.15x = 29,316.42 × 7,858.42
  4. Step 4: Simplify right side
    19,549.15x = 230,380,741.26
  5. Step 5: Solve for x
    x = 230,380,741.26/19,549.15
  6. Step 6: Final answer
    x = 11,784.69

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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.