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Finding the Fourth Proportional to 14,763.75, 20,374.38 and 8,476.53

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Solution

The fourth proportional to 14,763.75, 20,374.38 and 8,476.53 is: 11,697.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,763.75 : 20,374.38 = 8,476.53 : x
  2. Step 2: Convert to fraction form
    14,763.75/20,374.38 = 8,476.53/x
  3. Step 3: Cross multiply
    14,763.75x = 20,374.38 × 8,476.53
  4. Step 4: Simplify right side
    14,763.75x = 172,704,043.30
  5. Step 5: Solve for x
    x = 172,704,043.30/14,763.75
  6. Step 6: Final answer
    x = 11,697.84

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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.