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Finding the Fourth Proportional to 27,513.04, 37,984.52 and 18,098

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Solution

The fourth proportional to 27,513.04, 37,984.52 and 18,098 is: 24,986.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,513.04 : 37,984.52 = 18,098 : x
  2. Step 2: Convert to fraction form
    27,513.04/37,984.52 = 18,098/x
  3. Step 3: Cross multiply
    27,513.04x = 37,984.52 × 18,098
  4. Step 4: Simplify right side
    27,513.04x = 687,443,842.96
  5. Step 5: Solve for x
    x = 687,443,842.96/27,513.04
  6. Step 6: Final answer
    x = 24,986.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.