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Finding the Fourth Proportional to 12,892.68, 19,339.92 and 4,128.30

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Solution

The fourth proportional to 12,892.68, 19,339.92 and 4,128.30 is: 6,192.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,892.68 : 19,339.92 = 4,128.30 : x
  2. Step 2: Convert to fraction form
    12,892.68/19,339.92 = 4,128.30/x
  3. Step 3: Cross multiply
    12,892.68x = 19,339.92 × 4,128.30
  4. Step 4: Simplify right side
    12,892.68x = 79,840,991.74
  5. Step 5: Solve for x
    x = 79,840,991.74/12,892.68
  6. Step 6: Final answer
    x = 6,192.74

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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.