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Finding the Fourth Proportional to 13,887.32, 19,164.48 and 7,837.16

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Solution

The fourth proportional to 13,887.32, 19,164.48 and 7,837.16 is: 10,815.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,887.32 : 19,164.48 = 7,837.16 : x
  2. Step 2: Convert to fraction form
    13,887.32/19,164.48 = 7,837.16/x
  3. Step 3: Cross multiply
    13,887.32x = 19,164.48 × 7,837.16
  4. Step 4: Simplify right side
    13,887.32x = 150,195,096.08
  5. Step 5: Solve for x
    x = 150,195,096.08/13,887.32
  6. Step 6: Final answer
    x = 10,815.27

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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.