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Finding the Fourth Proportional to 25,682.88, 38,523.90 and 8,152.50

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Solution

The fourth proportional to 25,682.88, 38,523.90 and 8,152.50 is: 12,228.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,682.88 : 38,523.90 = 8,152.50 : x
  2. Step 2: Convert to fraction form
    25,682.88/38,523.90 = 8,152.50/x
  3. Step 3: Cross multiply
    25,682.88x = 38,523.90 × 8,152.50
  4. Step 4: Simplify right side
    25,682.88x = 314,066,094.75
  5. Step 5: Solve for x
    x = 314,066,094.75/25,682.88
  6. Step 6: Final answer
    x = 12,228.62

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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.