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Finding the Fourth Proportional to 12,265.46, 18,396.27 and 4,057.46

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Solution

The fourth proportional to 12,265.46, 18,396.27 and 4,057.46 is: 6,085.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,265.46 : 18,396.27 = 4,057.46 : x
  2. Step 2: Convert to fraction form
    12,265.46/18,396.27 = 4,057.46/x
  3. Step 3: Cross multiply
    12,265.46x = 18,396.27 × 4,057.46
  4. Step 4: Simplify right side
    12,265.46x = 74,642,129.67
  5. Step 5: Solve for x
    x = 74,642,129.67/12,265.46
  6. Step 6: Final answer
    x = 6,085.55

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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.