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Finding the Fourth Proportional to 12,173.86, 18,262.50 and 3,853

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Solution

The fourth proportional to 12,173.86, 18,262.50 and 3,853 is: 5,780.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,173.86 : 18,262.50 = 3,853 : x
  2. Step 2: Convert to fraction form
    12,173.86/18,262.50 = 3,853/x
  3. Step 3: Cross multiply
    12,173.86x = 18,262.50 × 3,853
  4. Step 4: Simplify right side
    12,173.86x = 70,365,412.50
  5. Step 5: Solve for x
    x = 70,365,412.50/12,173.86
  6. Step 6: Final answer
    x = 5,780.04

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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.