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Finding the Fourth Proportional to 14,856, 22,281.30 and 5,494.56

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Solution

The fourth proportional to 14,856, 22,281.30 and 5,494.56 is: 8,240.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,856 : 22,281.30 = 5,494.56 : x
  2. Step 2: Convert to fraction form
    14,856/22,281.30 = 5,494.56/x
  3. Step 3: Cross multiply
    14,856x = 22,281.30 × 5,494.56
  4. Step 4: Simplify right side
    14,856x = 122,425,939.73
  5. Step 5: Solve for x
    x = 122,425,939.73/14,856
  6. Step 6: Final answer
    x = 8,240.84

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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.