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Finding the Fourth Proportional to 15,800.45, 23,708 and 6,914.61

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Solution

The fourth proportional to 15,800.45, 23,708 and 6,914.61 is: 10,375.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,800.45 : 23,708 = 6,914.61 : x
  2. Step 2: Convert to fraction form
    15,800.45/23,708 = 6,914.61/x
  3. Step 3: Cross multiply
    15,800.45x = 23,708 × 6,914.61
  4. Step 4: Simplify right side
    15,800.45x = 163,931,573.88
  5. Step 5: Solve for x
    x = 163,931,573.88/15,800.45
  6. Step 6: Final answer
    x = 10,375.12

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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.