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Finding the Fourth Proportional to 14,778.60, 22,171.20 and 4,917.60

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Solution

The fourth proportional to 14,778.60, 22,171.20 and 4,917.60 is: 7,377.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,778.60 : 22,171.20 = 4,917.60 : x
  2. Step 2: Convert to fraction form
    14,778.60/22,171.20 = 4,917.60/x
  3. Step 3: Cross multiply
    14,778.60x = 22,171.20 × 4,917.60
  4. Step 4: Simplify right side
    14,778.60x = 109,029,093.12
  5. Step 5: Solve for x
    x = 109,029,093.12/14,778.60
  6. Step 6: Final answer
    x = 7,377.50

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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.