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Finding the Fourth Proportional to 12,188.73, 18,283.11 and 4,289.40

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Solution

The fourth proportional to 12,188.73, 18,283.11 and 4,289.40 is: 6,434.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,188.73 : 18,283.11 = 4,289.40 : x
  2. Step 2: Convert to fraction form
    12,188.73/18,283.11 = 4,289.40/x
  3. Step 3: Cross multiply
    12,188.73x = 18,283.11 × 4,289.40
  4. Step 4: Simplify right side
    12,188.73x = 78,423,572.03
  5. Step 5: Solve for x
    x = 78,423,572.03/12,188.73
  6. Step 6: Final answer
    x = 6,434.11

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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.