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Finding the Fourth Proportional to 12,683.20, 17,502.72 and 7,381.12

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Solution

The fourth proportional to 12,683.20, 17,502.72 and 7,381.12 is: 10,185.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,683.20 : 17,502.72 = 7,381.12 : x
  2. Step 2: Convert to fraction form
    12,683.20/17,502.72 = 7,381.12/x
  3. Step 3: Cross multiply
    12,683.20x = 17,502.72 × 7,381.12
  4. Step 4: Simplify right side
    12,683.20x = 129,189,676.65
  5. Step 5: Solve for x
    x = 129,189,676.65/12,683.20
  6. Step 6: Final answer
    x = 10,185.89

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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.