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Finding the Fourth Proportional to 12,857.43, 19,293.43 and 5,071.71

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Solution

The fourth proportional to 12,857.43, 19,293.43 and 5,071.71 is: 7,610.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,857.43 : 19,293.43 = 5,071.71 : x
  2. Step 2: Convert to fraction form
    12,857.43/19,293.43 = 5,071.71/x
  3. Step 3: Cross multiply
    12,857.43x = 19,293.43 × 5,071.71
  4. Step 4: Simplify right side
    12,857.43x = 97,850,681.87
  5. Step 5: Solve for x
    x = 97,850,681.87/12,857.43
  6. Step 6: Final answer
    x = 7,610.44

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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.