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Finding the Fourth Proportional to 13,538.30, 20,302.07 and 5,213.70

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Solution

The fourth proportional to 13,538.30, 20,302.07 and 5,213.70 is: 7,818.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,538.30 : 20,302.07 = 5,213.70 : x
  2. Step 2: Convert to fraction form
    13,538.30/20,302.07 = 5,213.70/x
  3. Step 3: Cross multiply
    13,538.30x = 20,302.07 × 5,213.70
  4. Step 4: Simplify right side
    13,538.30x = 105,848,876.29
  5. Step 5: Solve for x
    x = 105,848,876.29/13,538.30
  6. Step 6: Final answer
    x = 7,818.48

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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.