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Finding the Fourth Proportional to 27,438.63, 37,865.31 and 14,863.38

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Solution

The fourth proportional to 27,438.63, 37,865.31 and 14,863.38 is: 20,511.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,438.63 : 37,865.31 = 14,863.38 : x
  2. Step 2: Convert to fraction form
    27,438.63/37,865.31 = 14,863.38/x
  3. Step 3: Cross multiply
    27,438.63x = 37,865.31 × 14,863.38
  4. Step 4: Simplify right side
    27,438.63x = 562,806,491.35
  5. Step 5: Solve for x
    x = 562,806,491.35/27,438.63
  6. Step 6: Final answer
    x = 20,511.46

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Why These Related Problems?

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