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Finding the Fourth Proportional to 12,289.80, 18,431.50 and 3,522.66

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Solution

The fourth proportional to 12,289.80, 18,431.50 and 3,522.66 is: 5,283.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,289.80 : 18,431.50 = 3,522.66 : x
  2. Step 2: Convert to fraction form
    12,289.80/18,431.50 = 3,522.66/x
  3. Step 3: Cross multiply
    12,289.80x = 18,431.50 × 3,522.66
  4. Step 4: Simplify right side
    12,289.80x = 64,927,907.79
  5. Step 5: Solve for x
    x = 64,927,907.79/12,289.80
  6. Step 6: Final answer
    x = 5,283.07

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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.