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Finding the Fourth Proportional to 12,205.80, 18,308.70 and 2,971.80

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Solution

The fourth proportional to 12,205.80, 18,308.70 and 2,971.80 is: 4,457.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.80 : 18,308.70 = 2,971.80 : x
  2. Step 2: Convert to fraction form
    12,205.80/18,308.70 = 2,971.80/x
  3. Step 3: Cross multiply
    12,205.80x = 18,308.70 × 2,971.80
  4. Step 4: Simplify right side
    12,205.80x = 54,409,794.66
  5. Step 5: Solve for x
    x = 54,409,794.66/12,205.80
  6. Step 6: Final answer
    x = 4,457.70

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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.