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Finding the Fourth Proportional to 25,871.34, 38,811.96 and 8,336.46

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Solution

The fourth proportional to 25,871.34, 38,811.96 and 8,336.46 is: 12,506.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,871.34 : 38,811.96 = 8,336.46 : x
  2. Step 2: Convert to fraction form
    25,871.34/38,811.96 = 8,336.46/x
  3. Step 3: Cross multiply
    25,871.34x = 38,811.96 × 8,336.46
  4. Step 4: Simplify right side
    25,871.34x = 323,554,352.06
  5. Step 5: Solve for x
    x = 323,554,352.06/25,871.34
  6. Step 6: Final answer
    x = 12,506.29

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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.