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Finding the Fourth Proportional to 14,778.86, 22,168.48 and 4,918.14

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Solution

The fourth proportional to 14,778.86, 22,168.48 and 4,918.14 is: 7,377.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,778.86 : 22,168.48 = 4,918.14 : x
  2. Step 2: Convert to fraction form
    14,778.86/22,168.48 = 4,918.14/x
  3. Step 3: Cross multiply
    14,778.86x = 22,168.48 × 4,918.14
  4. Step 4: Simplify right side
    14,778.86x = 109,027,688.23
  5. Step 5: Solve for x
    x = 109,027,688.23/14,778.86
  6. Step 6: Final answer
    x = 7,377.27

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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.