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Finding the Fourth Proportional to 16,844.70, 25,246.80 and 6,978.90

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Solution

The fourth proportional to 16,844.70, 25,246.80 and 6,978.90 is: 10,459.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,844.70 : 25,246.80 = 6,978.90 : x
  2. Step 2: Convert to fraction form
    16,844.70/25,246.80 = 6,978.90/x
  3. Step 3: Cross multiply
    16,844.70x = 25,246.80 × 6,978.90
  4. Step 4: Simplify right side
    16,844.70x = 176,194,892.52
  5. Step 5: Solve for x
    x = 176,194,892.52/16,844.70
  6. Step 6: Final answer
    x = 10,459.96

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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.