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Finding the Fourth Proportional to 25,616.30, 38,419.82 and 6,892.01

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Solution

The fourth proportional to 25,616.30, 38,419.82 and 6,892.01 is: 10,336.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,616.30 : 38,419.82 = 6,892.01 : x
  2. Step 2: Convert to fraction form
    25,616.30/38,419.82 = 6,892.01/x
  3. Step 3: Cross multiply
    25,616.30x = 38,419.82 × 6,892.01
  4. Step 4: Simplify right side
    25,616.30x = 264,789,835.05
  5. Step 5: Solve for x
    x = 264,789,835.05/25,616.30
  6. Step 6: Final answer
    x = 10,336.77

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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.