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Finding the Fourth Proportional to 12,430.76, 18,646.14 and 3,197.48

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Solution

The fourth proportional to 12,430.76, 18,646.14 and 3,197.48 is: 4,796.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,430.76 : 18,646.14 = 3,197.48 : x
  2. Step 2: Convert to fraction form
    12,430.76/18,646.14 = 3,197.48/x
  3. Step 3: Cross multiply
    12,430.76x = 18,646.14 × 3,197.48
  4. Step 4: Simplify right side
    12,430.76x = 59,620,659.73
  5. Step 5: Solve for x
    x = 59,620,659.73/12,430.76
  6. Step 6: Final answer
    x = 4,796.22

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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.