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Finding the Fourth Proportional to 15,468, 23,205.96 and 5,079.84

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Solution

The fourth proportional to 15,468, 23,205.96 and 5,079.84 is: 7,621.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,468 : 23,205.96 = 5,079.84 : x
  2. Step 2: Convert to fraction form
    15,468/23,205.96 = 5,079.84/x
  3. Step 3: Cross multiply
    15,468x = 23,205.96 × 5,079.84
  4. Step 4: Simplify right side
    15,468x = 117,882,563.85
  5. Step 5: Solve for x
    x = 117,882,563.85/15,468
  6. Step 6: Final answer
    x = 7,621.06

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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.