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Finding the Fourth Proportional to 12,857.40, 19,284.48 and 4,093.20

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Solution

The fourth proportional to 12,857.40, 19,284.48 and 4,093.20 is: 6,139.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,857.40 : 19,284.48 = 4,093.20 : x
  2. Step 2: Convert to fraction form
    12,857.40/19,284.48 = 4,093.20/x
  3. Step 3: Cross multiply
    12,857.40x = 19,284.48 × 4,093.20
  4. Step 4: Simplify right side
    12,857.40x = 78,935,233.54
  5. Step 5: Solve for x
    x = 78,935,233.54/12,857.40
  6. Step 6: Final answer
    x = 6,139.28

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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.