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Finding the Fourth Proportional to 14,759.60, 20,368.16 and 8,474

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Solution

The fourth proportional to 14,759.60, 20,368.16 and 8,474 is: 11,694.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,759.60 : 20,368.16 = 8,474 : x
  2. Step 2: Convert to fraction form
    14,759.60/20,368.16 = 8,474/x
  3. Step 3: Cross multiply
    14,759.60x = 20,368.16 × 8,474
  4. Step 4: Simplify right side
    14,759.60x = 172,599,787.84
  5. Step 5: Solve for x
    x = 172,599,787.84/14,759.60
  6. Step 6: Final answer
    x = 11,694.07

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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.