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Finding the Fourth Proportional to 25,967.76, 38,939.31 and 13,475.30

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Solution

The fourth proportional to 25,967.76, 38,939.31 and 13,475.30 is: 20,206.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,967.76 : 38,939.31 = 13,475.30 : x
  2. Step 2: Convert to fraction form
    25,967.76/38,939.31 = 13,475.30/x
  3. Step 3: Cross multiply
    25,967.76x = 38,939.31 × 13,475.30
  4. Step 4: Simplify right side
    25,967.76x = 524,718,689.35
  5. Step 5: Solve for x
    x = 524,718,689.35/25,967.76
  6. Step 6: Final answer
    x = 20,206.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.