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Finding the Fourth Proportional to 12,420, 18,635.40 and 6,186.24

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Solution

The fourth proportional to 12,420, 18,635.40 and 6,186.24 is: 9,282.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,420 : 18,635.40 = 6,186.24 : x
  2. Step 2: Convert to fraction form
    12,420/18,635.40 = 6,186.24/x
  3. Step 3: Cross multiply
    12,420x = 18,635.40 × 6,186.24
  4. Step 4: Simplify right side
    12,420x = 115,283,056.90
  5. Step 5: Solve for x
    x = 115,283,056.90/12,420
  6. Step 6: Final answer
    x = 9,282.05

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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.