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Finding the Fourth Proportional to 15,770.52, 23,619.06 and 7,960.50

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Solution

The fourth proportional to 15,770.52, 23,619.06 and 7,960.50 is: 11,922.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,770.52 : 23,619.06 = 7,960.50 : x
  2. Step 2: Convert to fraction form
    15,770.52/23,619.06 = 7,960.50/x
  3. Step 3: Cross multiply
    15,770.52x = 23,619.06 × 7,960.50
  4. Step 4: Simplify right side
    15,770.52x = 188,019,527.13
  5. Step 5: Solve for x
    x = 188,019,527.13/15,770.52
  6. Step 6: Final answer
    x = 11,922.21

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Why These Related Problems?

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