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Finding the Fourth Proportional to 13,242.36, 19,857.12 and 7,697.30

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Solution

The fourth proportional to 13,242.36, 19,857.12 and 7,697.30 is: 11,542.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,242.36 : 19,857.12 = 7,697.30 : x
  2. Step 2: Convert to fraction form
    13,242.36/19,857.12 = 7,697.30/x
  3. Step 3: Cross multiply
    13,242.36x = 19,857.12 × 7,697.30
  4. Step 4: Simplify right side
    13,242.36x = 152,846,209.78
  5. Step 5: Solve for x
    x = 152,846,209.78/13,242.36
  6. Step 6: Final answer
    x = 11,542.22

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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.