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Finding the Fourth Proportional to 12,307.91, 16,986.19 and 7,531.04

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Solution

The fourth proportional to 12,307.91, 16,986.19 and 7,531.04 is: 10,393.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,307.91 : 16,986.19 = 7,531.04 : x
  2. Step 2: Convert to fraction form
    12,307.91/16,986.19 = 7,531.04/x
  3. Step 3: Cross multiply
    12,307.91x = 16,986.19 × 7,531.04
  4. Step 4: Simplify right side
    12,307.91x = 127,923,676.34
  5. Step 5: Solve for x
    x = 127,923,676.34/12,307.91
  6. Step 6: Final answer
    x = 10,393.61

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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.