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Finding the Fourth Proportional to 37,825.40, 56,744.86 and 12,864.16

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Solution

The fourth proportional to 37,825.40, 56,744.86 and 12,864.16 is: 19,298.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,825.40 : 56,744.86 = 12,864.16 : x
  2. Step 2: Convert to fraction form
    37,825.40/56,744.86 = 12,864.16/x
  3. Step 3: Cross multiply
    37,825.40x = 56,744.86 × 12,864.16
  4. Step 4: Simplify right side
    37,825.40x = 729,974,958.22
  5. Step 5: Solve for x
    x = 729,974,958.22/37,825.40
  6. Step 6: Final answer
    x = 19,298.54

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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.