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Finding the Fourth Proportional to 12,207.79, 18,311.80 and 5,638.59

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Solution

The fourth proportional to 12,207.79, 18,311.80 and 5,638.59 is: 8,457.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,207.79 : 18,311.80 = 5,638.59 : x
  2. Step 2: Convert to fraction form
    12,207.79/18,311.80 = 5,638.59/x
  3. Step 3: Cross multiply
    12,207.79x = 18,311.80 × 5,638.59
  4. Step 4: Simplify right side
    12,207.79x = 103,252,661.48
  5. Step 5: Solve for x
    x = 103,252,661.48/12,207.79
  6. Step 6: Final answer
    x = 8,457.93

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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.