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Finding the Fourth Proportional to 12,927.42, 19,393.02 and 4,159.44

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Solution

The fourth proportional to 12,927.42, 19,393.02 and 4,159.44 is: 6,239.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,927.42 : 19,393.02 = 4,159.44 : x
  2. Step 2: Convert to fraction form
    12,927.42/19,393.02 = 4,159.44/x
  3. Step 3: Cross multiply
    12,927.42x = 19,393.02 × 4,159.44
  4. Step 4: Simplify right side
    12,927.42x = 80,664,103.11
  5. Step 5: Solve for x
    x = 80,664,103.11/12,927.42
  6. Step 6: Final answer
    x = 6,239.77

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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.