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Finding the Fourth Proportional to 15,884.50, 23,827.30 and 6,396.70

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Solution

The fourth proportional to 15,884.50, 23,827.30 and 6,396.70 is: 9,595.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,884.50 : 23,827.30 = 6,396.70 : x
  2. Step 2: Convert to fraction form
    15,884.50/23,827.30 = 6,396.70/x
  3. Step 3: Cross multiply
    15,884.50x = 23,827.30 × 6,396.70
  4. Step 4: Simplify right side
    15,884.50x = 152,416,089.91
  5. Step 5: Solve for x
    x = 152,416,089.91/15,884.50
  6. Step 6: Final answer
    x = 9,595.27

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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.