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Finding the Fourth Proportional to 19,548.92, 29,316.06 and 7,858.16

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Solution

The fourth proportional to 19,548.92, 29,316.06 and 7,858.16 is: 11,784.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,548.92 : 29,316.06 = 7,858.16 : x
  2. Step 2: Convert to fraction form
    19,548.92/29,316.06 = 7,858.16/x
  3. Step 3: Cross multiply
    19,548.92x = 29,316.06 × 7,858.16
  4. Step 4: Simplify right side
    19,548.92x = 230,370,290.05
  5. Step 5: Solve for x
    x = 230,370,290.05/19,548.92
  6. Step 6: Final answer
    x = 11,784.30

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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.