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Finding the Fourth Proportional to 15,257.64, 22,847.58 and 7,446

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Solution

The fourth proportional to 15,257.64, 22,847.58 and 7,446 is: 11,150.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,257.64 : 22,847.58 = 7,446 : x
  2. Step 2: Convert to fraction form
    15,257.64/22,847.58 = 7,446/x
  3. Step 3: Cross multiply
    15,257.64x = 22,847.58 × 7,446
  4. Step 4: Simplify right side
    15,257.64x = 170,123,080.68
  5. Step 5: Solve for x
    x = 170,123,080.68/15,257.64
  6. Step 6: Final answer
    x = 11,150.03

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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.