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Finding the Fourth Proportional to 25,958.54, 38,914.44 and 9,314.69

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Solution

The fourth proportional to 25,958.54, 38,914.44 and 9,314.69 is: 13,963.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,958.54 : 38,914.44 = 9,314.69 : x
  2. Step 2: Convert to fraction form
    25,958.54/38,914.44 = 9,314.69/x
  3. Step 3: Cross multiply
    25,958.54x = 38,914.44 × 9,314.69
  4. Step 4: Simplify right side
    25,958.54x = 362,475,750.55
  5. Step 5: Solve for x
    x = 362,475,750.55/25,958.54
  6. Step 6: Final answer
    x = 13,963.64

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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.