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Finding the Fourth Proportional to 18,300.78, 27,457.75 and 7,201.32

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Solution

The fourth proportional to 18,300.78, 27,457.75 and 7,201.32 is: 10,804.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,300.78 : 27,457.75 = 7,201.32 : x
  2. Step 2: Convert to fraction form
    18,300.78/27,457.75 = 7,201.32/x
  3. Step 3: Cross multiply
    18,300.78x = 27,457.75 × 7,201.32
  4. Step 4: Simplify right side
    18,300.78x = 197,732,044.23
  5. Step 5: Solve for x
    x = 197,732,044.23/18,300.78
  6. Step 6: Final answer
    x = 10,804.57

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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.