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Finding the Fourth Proportional to 12,646.96, 17,453.98 and 9,454.73

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Solution

The fourth proportional to 12,646.96, 17,453.98 and 9,454.73 is: 13,048.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.96 : 17,453.98 = 9,454.73 : x
  2. Step 2: Convert to fraction form
    12,646.96/17,453.98 = 9,454.73/x
  3. Step 3: Cross multiply
    12,646.96x = 17,453.98 × 9,454.73
  4. Step 4: Simplify right side
    12,646.96x = 165,022,592.87
  5. Step 5: Solve for x
    x = 165,022,592.87/12,646.96
  6. Step 6: Final answer
    x = 13,048.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.