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Finding the Fourth Proportional to 12,427.12, 18,643.92 and 4,636

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Solution

The fourth proportional to 12,427.12, 18,643.92 and 4,636 is: 6,955.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,427.12 : 18,643.92 = 4,636 : x
  2. Step 2: Convert to fraction form
    12,427.12/18,643.92 = 4,636/x
  3. Step 3: Cross multiply
    12,427.12x = 18,643.92 × 4,636
  4. Step 4: Simplify right side
    12,427.12x = 86,433,213.12
  5. Step 5: Solve for x
    x = 86,433,213.12/12,427.12
  6. Step 6: Final answer
    x = 6,955.21

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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.