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Finding the Fourth Proportional to 12,857.79, 19,287.24 and 6,289.50

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Solution

The fourth proportional to 12,857.79, 19,287.24 and 6,289.50 is: 9,434.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,857.79 : 19,287.24 = 6,289.50 : x
  2. Step 2: Convert to fraction form
    12,857.79/19,287.24 = 6,289.50/x
  3. Step 3: Cross multiply
    12,857.79x = 19,287.24 × 6,289.50
  4. Step 4: Simplify right side
    12,857.79x = 121,307,095.98
  5. Step 5: Solve for x
    x = 121,307,095.98/12,857.79
  6. Step 6: Final answer
    x = 9,434.52

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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.