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Finding the Fourth Proportional to 25,678.35, 38,523.51 and 7,908.30

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Solution

The fourth proportional to 25,678.35, 38,523.51 and 7,908.30 is: 11,864.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,678.35 : 38,523.51 = 7,908.30 : x
  2. Step 2: Convert to fraction form
    25,678.35/38,523.51 = 7,908.30/x
  3. Step 3: Cross multiply
    25,678.35x = 38,523.51 × 7,908.30
  4. Step 4: Simplify right side
    25,678.35x = 304,655,474.13
  5. Step 5: Solve for x
    x = 304,655,474.13/25,678.35
  6. Step 6: Final answer
    x = 11,864.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.