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Finding the Fourth Proportional to 25,590.82, 38,390.41 and 8,056.55

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Solution

The fourth proportional to 25,590.82, 38,390.41 and 8,056.55 is: 12,086.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,590.82 : 38,390.41 = 8,056.55 : x
  2. Step 2: Convert to fraction form
    25,590.82/38,390.41 = 8,056.55/x
  3. Step 3: Cross multiply
    25,590.82x = 38,390.41 × 8,056.55
  4. Step 4: Simplify right side
    25,590.82x = 309,294,102.47
  5. Step 5: Solve for x
    x = 309,294,102.47/25,590.82
  6. Step 6: Final answer
    x = 12,086.14

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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.