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Finding the Fourth Proportional to 12,207.96, 18,315.54 and 4,204.76

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Solution

The fourth proportional to 12,207.96, 18,315.54 and 4,204.76 is: 6,308.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,207.96 : 18,315.54 = 4,204.76 : x
  2. Step 2: Convert to fraction form
    12,207.96/18,315.54 = 4,204.76/x
  3. Step 3: Cross multiply
    12,207.96x = 18,315.54 × 4,204.76
  4. Step 4: Simplify right side
    12,207.96x = 77,012,358.39
  5. Step 5: Solve for x
    x = 77,012,358.39/12,207.96
  6. Step 6: Final answer
    x = 6,308.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.