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Finding the Fourth Proportional to 12,173.49, 18,259.43 and 4,779.20

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Solution

The fourth proportional to 12,173.49, 18,259.43 and 4,779.20 is: 7,168.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,173.49 : 18,259.43 = 4,779.20 : x
  2. Step 2: Convert to fraction form
    12,173.49/18,259.43 = 4,779.20/x
  3. Step 3: Cross multiply
    12,173.49x = 18,259.43 × 4,779.20
  4. Step 4: Simplify right side
    12,173.49x = 87,265,489.61
  5. Step 5: Solve for x
    x = 87,265,489.61/12,173.49
  6. Step 6: Final answer
    x = 7,168.49

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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.