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Finding the Fourth Proportional to 15,870.72, 23,828 and 8,084.96

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Solution

The fourth proportional to 15,870.72, 23,828 and 8,084.96 is: 12,138.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,870.72 : 23,828 = 8,084.96 : x
  2. Step 2: Convert to fraction form
    15,870.72/23,828 = 8,084.96/x
  3. Step 3: Cross multiply
    15,870.72x = 23,828 × 8,084.96
  4. Step 4: Simplify right side
    15,870.72x = 192,648,426.88
  5. Step 5: Solve for x
    x = 192,648,426.88/15,870.72
  6. Step 6: Final answer
    x = 12,138.61

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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.