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Finding the Fourth Proportional to 25,853.92, 38,781 and 10,271.50

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Solution

The fourth proportional to 25,853.92, 38,781 and 10,271.50 is: 15,407.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,853.92 : 38,781 = 10,271.50 : x
  2. Step 2: Convert to fraction form
    25,853.92/38,781 = 10,271.50/x
  3. Step 3: Cross multiply
    25,853.92x = 38,781 × 10,271.50
  4. Step 4: Simplify right side
    25,853.92x = 398,339,041.50
  5. Step 5: Solve for x
    x = 398,339,041.50/25,853.92
  6. Step 6: Final answer
    x = 15,407.30

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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.