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Finding the Fourth Proportional to 15,185, 22,781.34 and 4,241

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Solution

The fourth proportional to 15,185, 22,781.34 and 4,241 is: 6,362.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,185 : 22,781.34 = 4,241 : x
  2. Step 2: Convert to fraction form
    15,185/22,781.34 = 4,241/x
  3. Step 3: Cross multiply
    15,185x = 22,781.34 × 4,241
  4. Step 4: Simplify right side
    15,185x = 96,615,662.94
  5. Step 5: Solve for x
    x = 96,615,662.94/15,185
  6. Step 6: Final answer
    x = 6,362.57

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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.