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Finding the Fourth Proportional to 12,817.34, 19,219.16 and 6,574.82

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Solution

The fourth proportional to 12,817.34, 19,219.16 and 6,574.82 is: 9,858.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,817.34 : 19,219.16 = 6,574.82 : x
  2. Step 2: Convert to fraction form
    12,817.34/19,219.16 = 6,574.82/x
  3. Step 3: Cross multiply
    12,817.34x = 19,219.16 × 6,574.82
  4. Step 4: Simplify right side
    12,817.34x = 126,362,517.55
  5. Step 5: Solve for x
    x = 126,362,517.55/12,817.34
  6. Step 6: Final answer
    x = 9,858.72

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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.