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Finding the Fourth Proportional to 13,428.96, 18,535.92 and 7,841.28

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Solution

The fourth proportional to 13,428.96, 18,535.92 and 7,841.28 is: 10,823.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,428.96 : 18,535.92 = 7,841.28 : x
  2. Step 2: Convert to fraction form
    13,428.96/18,535.92 = 7,841.28/x
  3. Step 3: Cross multiply
    13,428.96x = 18,535.92 × 7,841.28
  4. Step 4: Simplify right side
    13,428.96x = 145,345,338.78
  5. Step 5: Solve for x
    x = 145,345,338.78/13,428.96
  6. Step 6: Final answer
    x = 10,823.28

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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.