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Finding the Fourth Proportional to 12,857.70, 19,293.81 and 5,071.98

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Solution

The fourth proportional to 12,857.70, 19,293.81 and 5,071.98 is: 7,610.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,857.70 : 19,293.81 = 5,071.98 : x
  2. Step 2: Convert to fraction form
    12,857.70/19,293.81 = 5,071.98/x
  3. Step 3: Cross multiply
    12,857.70x = 19,293.81 × 5,071.98
  4. Step 4: Simplify right side
    12,857.70x = 97,857,818.44
  5. Step 5: Solve for x
    x = 97,857,818.44/12,857.70
  6. Step 6: Final answer
    x = 7,610.83

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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.