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Finding the Fourth Proportional to 12,892.88, 19,342.56 and 4,127.60

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Solution

The fourth proportional to 12,892.88, 19,342.56 and 4,127.60 is: 6,192.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,892.88 : 19,342.56 = 4,127.60 : x
  2. Step 2: Convert to fraction form
    12,892.88/19,342.56 = 4,127.60/x
  3. Step 3: Cross multiply
    12,892.88x = 19,342.56 × 4,127.60
  4. Step 4: Simplify right side
    12,892.88x = 79,838,350.66
  5. Step 5: Solve for x
    x = 79,838,350.66/12,892.88
  6. Step 6: Final answer
    x = 6,192.44

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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.