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Finding the Fourth Proportional to 12,447.32, 18,682.70 and 8,290.25

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Solution

The fourth proportional to 12,447.32, 18,682.70 and 8,290.25 is: 12,443.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,447.32 : 18,682.70 = 8,290.25 : x
  2. Step 2: Convert to fraction form
    12,447.32/18,682.70 = 8,290.25/x
  3. Step 3: Cross multiply
    12,447.32x = 18,682.70 × 8,290.25
  4. Step 4: Simplify right side
    12,447.32x = 154,884,235.50
  5. Step 5: Solve for x
    x = 154,884,235.50/12,447.32
  6. Step 6: Final answer
    x = 12,443.18

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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.