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Finding the Fourth Proportional to 27,114.90, 40,673.61 and 9,586.50

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Solution

The fourth proportional to 27,114.90, 40,673.61 and 9,586.50 is: 14,380.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,114.90 : 40,673.61 = 9,586.50 : x
  2. Step 2: Convert to fraction form
    27,114.90/40,673.61 = 9,586.50/x
  3. Step 3: Cross multiply
    27,114.90x = 40,673.61 × 9,586.50
  4. Step 4: Simplify right side
    27,114.90x = 389,917,562.27
  5. Step 5: Solve for x
    x = 389,917,562.27/27,114.90
  6. Step 6: Final answer
    x = 14,380.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.