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Finding the Fourth Proportional to 12,995.12, 19,498.16 and 5,202.16

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Solution

The fourth proportional to 12,995.12, 19,498.16 and 5,202.16 is: 7,805.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,995.12 : 19,498.16 = 5,202.16 : x
  2. Step 2: Convert to fraction form
    12,995.12/19,498.16 = 5,202.16/x
  3. Step 3: Cross multiply
    12,995.12x = 19,498.16 × 5,202.16
  4. Step 4: Simplify right side
    12,995.12x = 101,432,548.03
  5. Step 5: Solve for x
    x = 101,432,548.03/12,995.12
  6. Step 6: Final answer
    x = 7,805.43

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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.