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Finding the Fourth Proportional to 27,673, 41,509.88 and 9,205

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Solution

The fourth proportional to 27,673, 41,509.88 and 9,205 is: 13,807.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,673 : 41,509.88 = 9,205 : x
  2. Step 2: Convert to fraction form
    27,673/41,509.88 = 9,205/x
  3. Step 3: Cross multiply
    27,673x = 41,509.88 × 9,205
  4. Step 4: Simplify right side
    27,673x = 382,098,445.40
  5. Step 5: Solve for x
    x = 382,098,445.40/27,673
  6. Step 6: Final answer
    x = 13,807.63

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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.