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Finding the Fourth Proportional to 18,224.64, 27,340.60 and 6,538.76

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Solution

The fourth proportional to 18,224.64, 27,340.60 and 6,538.76 is: 9,809.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,224.64 : 27,340.60 = 6,538.76 : x
  2. Step 2: Convert to fraction form
    18,224.64/27,340.60 = 6,538.76/x
  3. Step 3: Cross multiply
    18,224.64x = 27,340.60 × 6,538.76
  4. Step 4: Simplify right side
    18,224.64x = 178,773,621.66
  5. Step 5: Solve for x
    x = 178,773,621.66/18,224.64
  6. Step 6: Final answer
    x = 9,809.45

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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.