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Finding the Fourth Proportional to 12,586.63, 17,369.19 and 6,921.39

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Solution

The fourth proportional to 12,586.63, 17,369.19 and 6,921.39 is: 9,551.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,586.63 : 17,369.19 = 6,921.39 : x
  2. Step 2: Convert to fraction form
    12,586.63/17,369.19 = 6,921.39/x
  3. Step 3: Cross multiply
    12,586.63x = 17,369.19 × 6,921.39
  4. Step 4: Simplify right side
    12,586.63x = 120,218,937.97
  5. Step 5: Solve for x
    x = 120,218,937.97/12,586.63
  6. Step 6: Final answer
    x = 9,551.32

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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.