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Finding the Fourth Proportional to 12,683.59, 17,507.67 and 7,382.85

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Solution

The fourth proportional to 12,683.59, 17,507.67 and 7,382.85 is: 10,190.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,683.59 : 17,507.67 = 7,382.85 : x
  2. Step 2: Convert to fraction form
    12,683.59/17,507.67 = 7,382.85/x
  3. Step 3: Cross multiply
    12,683.59x = 17,507.67 × 7,382.85
  4. Step 4: Simplify right side
    12,683.59x = 129,256,501.46
  5. Step 5: Solve for x
    x = 129,256,501.46/12,683.59
  6. Step 6: Final answer
    x = 10,190.85

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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.