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Finding the Fourth Proportional to 18,289.12, 27,431.28 and 6,440.16

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Solution

The fourth proportional to 18,289.12, 27,431.28 and 6,440.16 is: 9,659.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,289.12 : 27,431.28 = 6,440.16 : x
  2. Step 2: Convert to fraction form
    18,289.12/27,431.28 = 6,440.16/x
  3. Step 3: Cross multiply
    18,289.12x = 27,431.28 × 6,440.16
  4. Step 4: Simplify right side
    18,289.12x = 176,661,832.20
  5. Step 5: Solve for x
    x = 176,661,832.20/18,289.12
  6. Step 6: Final answer
    x = 9,659.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.