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Finding the Fourth Proportional to 12,416.76, 18,625.70 and 4,097.50

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Solution

The fourth proportional to 12,416.76, 18,625.70 and 4,097.50 is: 6,146.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,416.76 : 18,625.70 = 4,097.50 : x
  2. Step 2: Convert to fraction form
    12,416.76/18,625.70 = 4,097.50/x
  3. Step 3: Cross multiply
    12,416.76x = 18,625.70 × 4,097.50
  4. Step 4: Simplify right side
    12,416.76x = 76,318,805.75
  5. Step 5: Solve for x
    x = 76,318,805.75/12,416.76
  6. Step 6: Final answer
    x = 6,146.43

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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.