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Finding the Fourth Proportional to 12,817.46, 19,228.24 and 4,054.42

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Solution

The fourth proportional to 12,817.46, 19,228.24 and 4,054.42 is: 6,082.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,817.46 : 19,228.24 = 4,054.42 : x
  2. Step 2: Convert to fraction form
    12,817.46/19,228.24 = 4,054.42/x
  3. Step 3: Cross multiply
    12,817.46x = 19,228.24 × 4,054.42
  4. Step 4: Simplify right side
    12,817.46x = 77,959,360.82
  5. Step 5: Solve for x
    x = 77,959,360.82/12,817.46
  6. Step 6: Final answer
    x = 6,082.28

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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.