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Finding the Fourth Proportional to 16,997.58, 25,459.38 and 8,214

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Solution

The fourth proportional to 16,997.58, 25,459.38 and 8,214 is: 12,303.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,997.58 : 25,459.38 = 8,214 : x
  2. Step 2: Convert to fraction form
    16,997.58/25,459.38 = 8,214/x
  3. Step 3: Cross multiply
    16,997.58x = 25,459.38 × 8,214
  4. Step 4: Simplify right side
    16,997.58x = 209,123,347.32
  5. Step 5: Solve for x
    x = 209,123,347.32/16,997.58
  6. Step 6: Final answer
    x = 12,303.12

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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.