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Finding the Fourth Proportional to 13,451.92, 18,564.10 and 7,402.40

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Solution

The fourth proportional to 13,451.92, 18,564.10 and 7,402.40 is: 10,215.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,451.92 : 18,564.10 = 7,402.40 : x
  2. Step 2: Convert to fraction form
    13,451.92/18,564.10 = 7,402.40/x
  3. Step 3: Cross multiply
    13,451.92x = 18,564.10 × 7,402.40
  4. Step 4: Simplify right side
    13,451.92x = 137,418,893.84
  5. Step 5: Solve for x
    x = 137,418,893.84/13,451.92
  6. Step 6: Final answer
    x = 10,215.56

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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.