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Finding the Fourth Proportional to 12,636.68, 18,952.14 and 3,403.40

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Solution

The fourth proportional to 12,636.68, 18,952.14 and 3,403.40 is: 5,104.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,636.68 : 18,952.14 = 3,403.40 : x
  2. Step 2: Convert to fraction form
    12,636.68/18,952.14 = 3,403.40/x
  3. Step 3: Cross multiply
    12,636.68x = 18,952.14 × 3,403.40
  4. Step 4: Simplify right side
    12,636.68x = 64,501,713.28
  5. Step 5: Solve for x
    x = 64,501,713.28/12,636.68
  6. Step 6: Final answer
    x = 5,104.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.