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Finding the Fourth Proportional to 15,965.91, 23,951.30 and 4,722.30

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Solution

The fourth proportional to 15,965.91, 23,951.30 and 4,722.30 is: 7,084.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,965.91 : 23,951.30 = 4,722.30 : x
  2. Step 2: Convert to fraction form
    15,965.91/23,951.30 = 4,722.30/x
  3. Step 3: Cross multiply
    15,965.91x = 23,951.30 × 4,722.30
  4. Step 4: Simplify right side
    15,965.91x = 113,105,200.38
  5. Step 5: Solve for x
    x = 113,105,200.38/15,965.91
  6. Step 6: Final answer
    x = 7,084.17

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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.