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Finding the Fourth Proportional to 22,609.35, 31,199.37 and 13,049.63

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Solution

The fourth proportional to 22,609.35, 31,199.37 and 13,049.63 is: 18,007.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,609.35 : 31,199.37 = 13,049.63 : x
  2. Step 2: Convert to fraction form
    22,609.35/31,199.37 = 13,049.63/x
  3. Step 3: Cross multiply
    22,609.35x = 31,199.37 × 13,049.63
  4. Step 4: Simplify right side
    22,609.35x = 407,140,078.74
  5. Step 5: Solve for x
    x = 407,140,078.74/22,609.35
  6. Step 6: Final answer
    x = 18,007.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.