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Finding the Fourth Proportional to 18,434.02, 27,648 and 7,905.74

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Solution

The fourth proportional to 18,434.02, 27,648 and 7,905.74 is: 11,857.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,434.02 : 27,648 = 7,905.74 : x
  2. Step 2: Convert to fraction form
    18,434.02/27,648 = 7,905.74/x
  3. Step 3: Cross multiply
    18,434.02x = 27,648 × 7,905.74
  4. Step 4: Simplify right side
    18,434.02x = 218,577,899.52
  5. Step 5: Solve for x
    x = 218,577,899.52/18,434.02
  6. Step 6: Final answer
    x = 11,857.31

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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.