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Finding the Fourth Proportional to 25,867.42, 38,807.61 and 8,336.86

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Solution

The fourth proportional to 25,867.42, 38,807.61 and 8,336.86 is: 12,507.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,867.42 : 38,807.61 = 8,336.86 : x
  2. Step 2: Convert to fraction form
    25,867.42/38,807.61 = 8,336.86/x
  3. Step 3: Cross multiply
    25,867.42x = 38,807.61 × 8,336.86
  4. Step 4: Simplify right side
    25,867.42x = 323,533,611.50
  5. Step 5: Solve for x
    x = 323,533,611.50/25,867.42
  6. Step 6: Final answer
    x = 12,507.38

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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.