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Finding the Fourth Proportional to 27,012.30, 40,542.21 and 14,543.34

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Solution

The fourth proportional to 27,012.30, 40,542.21 and 14,543.34 is: 21,827.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,012.30 : 40,542.21 = 14,543.34 : x
  2. Step 2: Convert to fraction form
    27,012.30/40,542.21 = 14,543.34/x
  3. Step 3: Cross multiply
    27,012.30x = 40,542.21 × 14,543.34
  4. Step 4: Simplify right side
    27,012.30x = 589,619,144.38
  5. Step 5: Solve for x
    x = 589,619,144.38/27,012.30
  6. Step 6: Final answer
    x = 21,827.80

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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.