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Finding the Fourth Proportional to 16,537.66, 24,810.54 and 8,221.60

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Solution

The fourth proportional to 16,537.66, 24,810.54 and 8,221.60 is: 12,334.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,537.66 : 24,810.54 = 8,221.60 : x
  2. Step 2: Convert to fraction form
    16,537.66/24,810.54 = 8,221.60/x
  3. Step 3: Cross multiply
    16,537.66x = 24,810.54 × 8,221.60
  4. Step 4: Simplify right side
    16,537.66x = 203,982,211.61
  5. Step 5: Solve for x
    x = 203,982,211.61/16,537.66
  6. Step 6: Final answer
    x = 12,334.41

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1.5x scale

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.