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Finding the Fourth Proportional to 25,719.44, 38,577.48 and 8,201.84

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Solution

The fourth proportional to 25,719.44, 38,577.48 and 8,201.84 is: 12,302.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,719.44 : 38,577.48 = 8,201.84 : x
  2. Step 2: Convert to fraction form
    25,719.44/38,577.48 = 8,201.84/x
  3. Step 3: Cross multiply
    25,719.44x = 38,577.48 × 8,201.84
  4. Step 4: Simplify right side
    25,719.44x = 316,406,318.56
  5. Step 5: Solve for x
    x = 316,406,318.56/25,719.44
  6. Step 6: Final answer
    x = 12,302.22

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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.