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Finding the Fourth Proportional to 12,684.96, 17,505.08 and 7,019.28

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Solution

The fourth proportional to 12,684.96, 17,505.08 and 7,019.28 is: 9,686.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,684.96 : 17,505.08 = 7,019.28 : x
  2. Step 2: Convert to fraction form
    12,684.96/17,505.08 = 7,019.28/x
  3. Step 3: Cross multiply
    12,684.96x = 17,505.08 × 7,019.28
  4. Step 4: Simplify right side
    12,684.96x = 122,873,057.94
  5. Step 5: Solve for x
    x = 122,873,057.94/12,684.96
  6. Step 6: Final answer
    x = 9,686.52

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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.