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Finding the Fourth Proportional to 12,451.90, 18,680.59 and 3,687.50

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Solution

The fourth proportional to 12,451.90, 18,680.59 and 3,687.50 is: 5,532.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,451.90 : 18,680.59 = 3,687.50 : x
  2. Step 2: Convert to fraction form
    12,451.90/18,680.59 = 3,687.50/x
  3. Step 3: Cross multiply
    12,451.90x = 18,680.59 × 3,687.50
  4. Step 4: Simplify right side
    12,451.90x = 68,884,658.84
  5. Step 5: Solve for x
    x = 68,884,658.84/12,451.90
  6. Step 6: Final answer
    x = 5,532.06

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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.