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Finding the Fourth Proportional to 14,765.20, 20,376 and 8,050.96

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Solution

The fourth proportional to 14,765.20, 20,376 and 8,050.96 is: 11,110.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,765.20 : 20,376 = 8,050.96 : x
  2. Step 2: Convert to fraction form
    14,765.20/20,376 = 8,050.96/x
  3. Step 3: Cross multiply
    14,765.20x = 20,376 × 8,050.96
  4. Step 4: Simplify right side
    14,765.20x = 164,046,360.96
  5. Step 5: Solve for x
    x = 164,046,360.96/14,765.20
  6. Step 6: Final answer
    x = 11,110.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.