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Finding the Fourth Proportional to 13,428.72, 18,530.28 and 7,842.96

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Solution

The fourth proportional to 13,428.72, 18,530.28 and 7,842.96 is: 10,822.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,428.72 : 18,530.28 = 7,842.96 : x
  2. Step 2: Convert to fraction form
    13,428.72/18,530.28 = 7,842.96/x
  3. Step 3: Cross multiply
    13,428.72x = 18,530.28 × 7,842.96
  4. Step 4: Simplify right side
    13,428.72x = 145,332,244.83
  5. Step 5: Solve for x
    x = 145,332,244.83/13,428.72
  6. Step 6: Final answer
    x = 10,822.49

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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.