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Finding the Fourth Proportional to 18,137.60, 27,189.96 and 6,448.08

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Solution

The fourth proportional to 18,137.60, 27,189.96 and 6,448.08 is: 9,666.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,137.60 : 27,189.96 = 6,448.08 : x
  2. Step 2: Convert to fraction form
    18,137.60/27,189.96 = 6,448.08/x
  3. Step 3: Cross multiply
    18,137.60x = 27,189.96 × 6,448.08
  4. Step 4: Simplify right side
    18,137.60x = 175,323,037.28
  5. Step 5: Solve for x
    x = 175,323,037.28/18,137.60
  6. Step 6: Final answer
    x = 9,666.28

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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.