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Finding the Fourth Proportional to 15,645.68, 23,476.12 and 6,879.46

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Solution

The fourth proportional to 15,645.68, 23,476.12 and 6,879.46 is: 10,322.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,645.68 : 23,476.12 = 6,879.46 : x
  2. Step 2: Convert to fraction form
    15,645.68/23,476.12 = 6,879.46/x
  3. Step 3: Cross multiply
    15,645.68x = 23,476.12 × 6,879.46
  4. Step 4: Simplify right side
    15,645.68x = 161,503,028.50
  5. Step 5: Solve for x
    x = 161,503,028.50/15,645.68
  6. Step 6: Final answer
    x = 10,322.53

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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.