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Finding the Fourth Proportional to 14,774.14, 22,152 and 4,910.86

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Solution

The fourth proportional to 14,774.14, 22,152 and 4,910.86 is: 7,363.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,774.14 : 22,152 = 4,910.86 : x
  2. Step 2: Convert to fraction form
    14,774.14/22,152 = 4,910.86/x
  3. Step 3: Cross multiply
    14,774.14x = 22,152 × 4,910.86
  4. Step 4: Simplify right side
    14,774.14x = 108,785,370.72
  5. Step 5: Solve for x
    x = 108,785,370.72/14,774.14
  6. Step 6: Final answer
    x = 7,363.23

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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.