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Finding the Fourth Proportional to 12,984.95, 17,919.24 and 7,016.64

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Solution

The fourth proportional to 12,984.95, 17,919.24 and 7,016.64 is: 9,682.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,984.95 : 17,919.24 = 7,016.64 : x
  2. Step 2: Convert to fraction form
    12,984.95/17,919.24 = 7,016.64/x
  3. Step 3: Cross multiply
    12,984.95x = 17,919.24 × 7,016.64
  4. Step 4: Simplify right side
    12,984.95x = 125,732,731.47
  5. Step 5: Solve for x
    x = 125,732,731.47/12,984.95
  6. Step 6: Final answer
    x = 9,682.96

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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.