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Finding the Fourth Proportional to 12,654.02, 17,462.64 and 6,988.61

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Solution

The fourth proportional to 12,654.02, 17,462.64 and 6,988.61 is: 9,644.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,654.02 : 17,462.64 = 6,988.61 : x
  2. Step 2: Convert to fraction form
    12,654.02/17,462.64 = 6,988.61/x
  3. Step 3: Cross multiply
    12,654.02x = 17,462.64 × 6,988.61
  4. Step 4: Simplify right side
    12,654.02x = 122,039,493.22
  5. Step 5: Solve for x
    x = 122,039,493.22/12,654.02
  6. Step 6: Final answer
    x = 9,644.33

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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.