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Finding the Fourth Proportional to 12,857.94, 19,289.88 and 4,537.89

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Solution

The fourth proportional to 12,857.94, 19,289.88 and 4,537.89 is: 6,807.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,857.94 : 19,289.88 = 4,537.89 : x
  2. Step 2: Convert to fraction form
    12,857.94/19,289.88 = 4,537.89/x
  3. Step 3: Cross multiply
    12,857.94x = 19,289.88 × 4,537.89
  4. Step 4: Simplify right side
    12,857.94x = 87,535,353.55
  5. Step 5: Solve for x
    x = 87,535,353.55/12,857.94
  6. Step 6: Final answer
    x = 6,807.88

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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.