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Finding the Fourth Proportional to 12,654.72, 17,464.56 and 6,989.99

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Solution

The fourth proportional to 12,654.72, 17,464.56 and 6,989.99 is: 9,646.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,654.72 : 17,464.56 = 6,989.99 : x
  2. Step 2: Convert to fraction form
    12,654.72/17,464.56 = 6,989.99/x
  3. Step 3: Cross multiply
    12,654.72x = 17,464.56 × 6,989.99
  4. Step 4: Simplify right side
    12,654.72x = 122,077,012.43
  5. Step 5: Solve for x
    x = 122,077,012.43/12,654.72
  6. Step 6: Final answer
    x = 9,646.76

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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.