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Finding the Fourth Proportional to 15,951.33, 23,928.14 and 4,857.98

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Solution

The fourth proportional to 15,951.33, 23,928.14 and 4,857.98 is: 7,287.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,951.33 : 23,928.14 = 4,857.98 : x
  2. Step 2: Convert to fraction form
    15,951.33/23,928.14 = 4,857.98/x
  3. Step 3: Cross multiply
    15,951.33x = 23,928.14 × 4,857.98
  4. Step 4: Simplify right side
    15,951.33x = 116,242,318.06
  5. Step 5: Solve for x
    x = 116,242,318.06/15,951.33
  6. Step 6: Final answer
    x = 7,287.31

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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.