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Finding the Fourth Proportional to 25,465.84, 38,203.84 and 7,934.96

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Solution

The fourth proportional to 25,465.84, 38,203.84 and 7,934.96 is: 11,904.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,465.84 : 38,203.84 = 7,934.96 : x
  2. Step 2: Convert to fraction form
    25,465.84/38,203.84 = 7,934.96/x
  3. Step 3: Cross multiply
    25,465.84x = 38,203.84 × 7,934.96
  4. Step 4: Simplify right side
    25,465.84x = 303,145,942.25
  5. Step 5: Solve for x
    x = 303,145,942.25/25,465.84
  6. Step 6: Final answer
    x = 11,904.02

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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.