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Finding the Fourth Proportional to 27,204.50, 40,807.02 and 9,675.02

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Solution

The fourth proportional to 27,204.50, 40,807.02 and 9,675.02 is: 14,512.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,204.50 : 40,807.02 = 9,675.02 : x
  2. Step 2: Convert to fraction form
    27,204.50/40,807.02 = 9,675.02/x
  3. Step 3: Cross multiply
    27,204.50x = 40,807.02 × 9,675.02
  4. Step 4: Simplify right side
    27,204.50x = 394,808,734.64
  5. Step 5: Solve for x
    x = 394,808,734.64/27,204.50
  6. Step 6: Final answer
    x = 14,512.63

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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.