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Finding the Fourth Proportional to 15,839.32, 23,770.50 and 7,084.12

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Solution

The fourth proportional to 15,839.32, 23,770.50 and 7,084.12 is: 10,631.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,839.32 : 23,770.50 = 7,084.12 : x
  2. Step 2: Convert to fraction form
    15,839.32/23,770.50 = 7,084.12/x
  3. Step 3: Cross multiply
    15,839.32x = 23,770.50 × 7,084.12
  4. Step 4: Simplify right side
    15,839.32x = 168,393,074.46
  5. Step 5: Solve for x
    x = 168,393,074.46/15,839.32
  6. Step 6: Final answer
    x = 10,631.33

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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.