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Finding the Fourth Proportional to 25,672.82, 38,510.60 and 8,144.01

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Solution

The fourth proportional to 25,672.82, 38,510.60 and 8,144.01 is: 12,216.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,672.82 : 38,510.60 = 8,144.01 : x
  2. Step 2: Convert to fraction form
    25,672.82/38,510.60 = 8,144.01/x
  3. Step 3: Cross multiply
    25,672.82x = 38,510.60 × 8,144.01
  4. Step 4: Simplify right side
    25,672.82x = 313,630,670.79
  5. Step 5: Solve for x
    x = 313,630,670.79/25,672.82
  6. Step 6: Final answer
    x = 12,216.45

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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.