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Finding the Fourth Proportional to 11,702.16, 17,586.72 and 11,265.84

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Solution

The fourth proportional to 11,702.16, 17,586.72 and 11,265.84 is: 16,930.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.16 : 17,586.72 = 11,265.84 : x
  2. Step 2: Convert to fraction form
    11,702.16/17,586.72 = 11,265.84/x
  3. Step 3: Cross multiply
    11,702.16x = 17,586.72 × 11,265.84
  4. Step 4: Simplify right side
    11,702.16x = 198,129,173.64
  5. Step 5: Solve for x
    x = 198,129,173.64/11,702.16
  6. Step 6: Final answer
    x = 16,930.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.