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Finding the Fourth Proportional to 22,277.48, 30,729.76 and 13,199.64

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Solution

The fourth proportional to 22,277.48, 30,729.76 and 13,199.64 is: 18,207.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,277.48 : 30,729.76 = 13,199.64 : x
  2. Step 2: Convert to fraction form
    22,277.48/30,729.76 = 13,199.64/x
  3. Step 3: Cross multiply
    22,277.48x = 30,729.76 × 13,199.64
  4. Step 4: Simplify right side
    22,277.48x = 405,621,769.29
  5. Step 5: Solve for x
    x = 405,621,769.29/22,277.48
  6. Step 6: Final answer
    x = 18,207.70

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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.