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Finding the Fourth Proportional to 13,508.84, 18,640.64 and 7,540.32

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Solution

The fourth proportional to 13,508.84, 18,640.64 and 7,540.32 is: 10,404.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,508.84 : 18,640.64 = 7,540.32 : x
  2. Step 2: Convert to fraction form
    13,508.84/18,640.64 = 7,540.32/x
  3. Step 3: Cross multiply
    13,508.84x = 18,640.64 × 7,540.32
  4. Step 4: Simplify right side
    13,508.84x = 140,556,390.60
  5. Step 5: Solve for x
    x = 140,556,390.60/13,508.84
  6. Step 6: Final answer
    x = 10,404.77

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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.