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Finding the Fourth Proportional to 25,757.80, 38,636.70 and 14,064.64

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Solution

The fourth proportional to 25,757.80, 38,636.70 and 14,064.64 is: 21,096.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,757.80 : 38,636.70 = 14,064.64 : x
  2. Step 2: Convert to fraction form
    25,757.80/38,636.70 = 14,064.64/x
  3. Step 3: Cross multiply
    25,757.80x = 38,636.70 × 14,064.64
  4. Step 4: Simplify right side
    25,757.80x = 543,411,012.78
  5. Step 5: Solve for x
    x = 543,411,012.78/25,757.80
  6. Step 6: Final answer
    x = 21,096.95

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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.