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Finding the Fourth Proportional to 13,221.14, 18,245.68 and 7,253.06

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Solution

The fourth proportional to 13,221.14, 18,245.68 and 7,253.06 is: 10,009.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,221.14 : 18,245.68 = 7,253.06 : x
  2. Step 2: Convert to fraction form
    13,221.14/18,245.68 = 7,253.06/x
  3. Step 3: Cross multiply
    13,221.14x = 18,245.68 × 7,253.06
  4. Step 4: Simplify right side
    13,221.14x = 132,337,011.78
  5. Step 5: Solve for x
    x = 132,337,011.78/13,221.14
  6. Step 6: Final answer
    x = 10,009.50

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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.