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Finding the Fourth Proportional to 27,438.56, 37,865.20 and 14,863.20

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Solution

The fourth proportional to 27,438.56, 37,865.20 and 14,863.20 is: 20,511.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,438.56 : 37,865.20 = 14,863.20 : x
  2. Step 2: Convert to fraction form
    27,438.56/37,865.20 = 14,863.20/x
  3. Step 3: Cross multiply
    27,438.56x = 37,865.20 × 14,863.20
  4. Step 4: Simplify right side
    27,438.56x = 562,798,040.64
  5. Step 5: Solve for x
    x = 562,798,040.64/27,438.56
  6. Step 6: Final answer
    x = 20,511.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.