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Finding the Fourth Proportional to 19,548.16, 29,314.92 and 7,857.44

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Solution

The fourth proportional to 19,548.16, 29,314.92 and 7,857.44 is: 11,783.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,548.16 : 29,314.92 = 7,857.44 : x
  2. Step 2: Convert to fraction form
    19,548.16/29,314.92 = 7,857.44/x
  3. Step 3: Cross multiply
    19,548.16x = 29,314.92 × 7,857.44
  4. Step 4: Simplify right side
    19,548.16x = 230,340,225.00
  5. Step 5: Solve for x
    x = 230,340,225.00/19,548.16
  6. Step 6: Final answer
    x = 11,783.22

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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.