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Finding the Fourth Proportional to 15,322.12, 22,983.72 and 4,793.08

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Solution

The fourth proportional to 15,322.12, 22,983.72 and 4,793.08 is: 7,189.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,322.12 : 22,983.72 = 4,793.08 : x
  2. Step 2: Convert to fraction form
    15,322.12/22,983.72 = 4,793.08/x
  3. Step 3: Cross multiply
    15,322.12x = 22,983.72 × 4,793.08
  4. Step 4: Simplify right side
    15,322.12x = 110,162,808.66
  5. Step 5: Solve for x
    x = 110,162,808.66/15,322.12
  6. Step 6: Final answer
    x = 7,189.79

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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.