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Finding the Fourth Proportional to 19,896.32, 27,432.60 and 13,180.16

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Solution

The fourth proportional to 19,896.32, 27,432.60 and 13,180.16 is: 18,172.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,896.32 : 27,432.60 = 13,180.16 : x
  2. Step 2: Convert to fraction form
    19,896.32/27,432.60 = 13,180.16/x
  3. Step 3: Cross multiply
    19,896.32x = 27,432.60 × 13,180.16
  4. Step 4: Simplify right side
    19,896.32x = 361,566,057.22
  5. Step 5: Solve for x
    x = 361,566,057.22/19,896.32
  6. Step 6: Final answer
    x = 18,172.51

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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.