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Finding the Fourth Proportional to 12,289.14, 18,435.87 and 3,970.98

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Solution

The fourth proportional to 12,289.14, 18,435.87 and 3,970.98 is: 5,957.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,289.14 : 18,435.87 = 3,970.98 : x
  2. Step 2: Convert to fraction form
    12,289.14/18,435.87 = 3,970.98/x
  3. Step 3: Cross multiply
    12,289.14x = 18,435.87 × 3,970.98
  4. Step 4: Simplify right side
    12,289.14x = 73,208,471.05
  5. Step 5: Solve for x
    x = 73,208,471.05/12,289.14
  6. Step 6: Final answer
    x = 5,957.17

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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.