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Finding the Fourth Proportional to 16,475, 24,650.50 and 11,554.24

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Solution

The fourth proportional to 16,475, 24,650.50 and 11,554.24 is: 17,287.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,475 : 24,650.50 = 11,554.24 : x
  2. Step 2: Convert to fraction form
    16,475/24,650.50 = 11,554.24/x
  3. Step 3: Cross multiply
    16,475x = 24,650.50 × 11,554.24
  4. Step 4: Simplify right side
    16,475x = 284,817,793.12
  5. Step 5: Solve for x
    x = 284,817,793.12/16,475
  6. Step 6: Final answer
    x = 17,287.88

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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.