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Finding the Fourth Proportional to 12,586.68, 17,368.43 and 6,921.33

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Solution

The fourth proportional to 12,586.68, 17,368.43 and 6,921.33 is: 9,550.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,586.68 : 17,368.43 = 6,921.33 : x
  2. Step 2: Convert to fraction form
    12,586.68/17,368.43 = 6,921.33/x
  3. Step 3: Cross multiply
    12,586.68x = 17,368.43 × 6,921.33
  4. Step 4: Simplify right side
    12,586.68x = 120,212,601.01
  5. Step 5: Solve for x
    x = 120,212,601.01/12,586.68
  6. Step 6: Final answer
    x = 9,550.78

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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.