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Finding the Fourth Proportional to 19,723.68, 27,223.20 and 13,009.92

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Solution

The fourth proportional to 19,723.68, 27,223.20 and 13,009.92 is: 17,956.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,723.68 : 27,223.20 = 13,009.92 : x
  2. Step 2: Convert to fraction form
    19,723.68/27,223.20 = 13,009.92/x
  3. Step 3: Cross multiply
    19,723.68x = 27,223.20 × 13,009.92
  4. Step 4: Simplify right side
    19,723.68x = 354,171,654.14
  5. Step 5: Solve for x
    x = 354,171,654.14/19,723.68
  6. Step 6: Final answer
    x = 17,956.67

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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.