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Finding the Fourth Proportional to 25,236.15, 37,853.89 and 7,706.04

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Solution

The fourth proportional to 25,236.15, 37,853.89 and 7,706.04 is: 11,558.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,236.15 : 37,853.89 = 7,706.04 : x
  2. Step 2: Convert to fraction form
    25,236.15/37,853.89 = 7,706.04/x
  3. Step 3: Cross multiply
    25,236.15x = 37,853.89 × 7,706.04
  4. Step 4: Simplify right side
    25,236.15x = 291,703,590.50
  5. Step 5: Solve for x
    x = 291,703,590.50/25,236.15
  6. Step 6: Final answer
    x = 11,558.96

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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.