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Finding the Fourth Proportional to 15,815.24, 23,722.04 and 4,722.02

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Solution

The fourth proportional to 15,815.24, 23,722.04 and 4,722.02 is: 7,082.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,815.24 : 23,722.04 = 4,722.02 : x
  2. Step 2: Convert to fraction form
    15,815.24/23,722.04 = 4,722.02/x
  3. Step 3: Cross multiply
    15,815.24x = 23,722.04 × 4,722.02
  4. Step 4: Simplify right side
    15,815.24x = 112,015,840.52
  5. Step 5: Solve for x
    x = 112,015,840.52/15,815.24
  6. Step 6: Final answer
    x = 7,082.78

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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.