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Finding the Fourth Proportional to 12,374.38, 18,564.66 and 3,609.40

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Solution

The fourth proportional to 12,374.38, 18,564.66 and 3,609.40 is: 5,415.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,374.38 : 18,564.66 = 3,609.40 : x
  2. Step 2: Convert to fraction form
    12,374.38/18,564.66 = 3,609.40/x
  3. Step 3: Cross multiply
    12,374.38x = 18,564.66 × 3,609.40
  4. Step 4: Simplify right side
    12,374.38x = 67,007,283.80
  5. Step 5: Solve for x
    x = 67,007,283.80/12,374.38
  6. Step 6: Final answer
    x = 5,415.00

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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.