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Finding the Fourth Proportional to 12,346.80, 18,522.90 and 4,949.40

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Solution

The fourth proportional to 12,346.80, 18,522.90 and 4,949.40 is: 7,425.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,346.80 : 18,522.90 = 4,949.40 : x
  2. Step 2: Convert to fraction form
    12,346.80/18,522.90 = 4,949.40/x
  3. Step 3: Cross multiply
    12,346.80x = 18,522.90 × 4,949.40
  4. Step 4: Simplify right side
    12,346.80x = 91,677,241.26
  5. Step 5: Solve for x
    x = 91,677,241.26/12,346.80
  6. Step 6: Final answer
    x = 7,425.18

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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.