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Finding the Fourth Proportional to 15,354.56, 23,027.04 and 4,964.16

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Solution

The fourth proportional to 15,354.56, 23,027.04 and 4,964.16 is: 7,444.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,354.56 : 23,027.04 = 4,964.16 : x
  2. Step 2: Convert to fraction form
    15,354.56/23,027.04 = 4,964.16/x
  3. Step 3: Cross multiply
    15,354.56x = 23,027.04 × 4,964.16
  4. Step 4: Simplify right side
    15,354.56x = 114,309,910.89
  5. Step 5: Solve for x
    x = 114,309,910.89/15,354.56
  6. Step 6: Final answer
    x = 7,444.69

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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.