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Finding the Fourth Proportional to 15,493, 23,251.86 and 5,635.12

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Solution

The fourth proportional to 15,493, 23,251.86 and 5,635.12 is: 8,457.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,493 : 23,251.86 = 5,635.12 : x
  2. Step 2: Convert to fraction form
    15,493/23,251.86 = 5,635.12/x
  3. Step 3: Cross multiply
    15,493x = 23,251.86 × 5,635.12
  4. Step 4: Simplify right side
    15,493x = 131,027,021.32
  5. Step 5: Solve for x
    x = 131,027,021.32/15,493
  6. Step 6: Final answer
    x = 8,457.18

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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.