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Finding the Fourth Proportional to 12,684.88, 17,505.75 and 7,019.61

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Solution

The fourth proportional to 12,684.88, 17,505.75 and 7,019.61 is: 9,687.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,684.88 : 17,505.75 = 7,019.61 : x
  2. Step 2: Convert to fraction form
    12,684.88/17,505.75 = 7,019.61/x
  3. Step 3: Cross multiply
    12,684.88x = 17,505.75 × 7,019.61
  4. Step 4: Simplify right side
    12,684.88x = 122,883,537.76
  5. Step 5: Solve for x
    x = 122,883,537.76/12,684.88
  6. Step 6: Final answer
    x = 9,687.40

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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.