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Finding the Fourth Proportional to 37,208.40, 55,812.60 and 12,584.40

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Solution

The fourth proportional to 37,208.40, 55,812.60 and 12,584.40 is: 18,876.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,208.40 : 55,812.60 = 12,584.40 : x
  2. Step 2: Convert to fraction form
    37,208.40/55,812.60 = 12,584.40/x
  3. Step 3: Cross multiply
    37,208.40x = 55,812.60 × 12,584.40
  4. Step 4: Simplify right side
    37,208.40x = 702,368,083.44
  5. Step 5: Solve for x
    x = 702,368,083.44/37,208.40
  6. Step 6: Final answer
    x = 18,876.60

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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.