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Finding the Fourth Proportional to 16,459.68, 22,714.20 and 8,905.85

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Solution

The fourth proportional to 16,459.68, 22,714.20 and 8,905.85 is: 12,289.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,459.68 : 22,714.20 = 8,905.85 : x
  2. Step 2: Convert to fraction form
    16,459.68/22,714.20 = 8,905.85/x
  3. Step 3: Cross multiply
    16,459.68x = 22,714.20 × 8,905.85
  4. Step 4: Simplify right side
    16,459.68x = 202,289,213.55
  5. Step 5: Solve for x
    x = 202,289,213.55/16,459.68
  6. Step 6: Final answer
    x = 12,289.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.